The endpoints of a side of rectangle ABCD in the coordinate plane are at A(1, 6) and
B(6, 1). Find the equation of the line that contains the given segment.

The line segment is AB.

The equation is y =

Answers

Answer 1

Answer:

The equation is:

[tex]y = -x + 7[/tex]

Step-by-step explanation:

Given the endpoints of a side of a rectangle

A(1, 6)B(6, 1)

Finding the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]

[tex]m=\frac{1-6}{6-1}[/tex]

[tex]m=-1[/tex]

Using the point-slope form of a line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -1 and the point (1, 6)

[tex]y - 6 = -1 (x - 1)[/tex]

[tex]y - 6 = -x + 1[/tex]

[tex]y = -x + 1 + 6[/tex]

[tex]y = -x + 7[/tex]

Thus, the equation is:

[tex]y = -x + 7[/tex]


Related Questions

help me answer this q1

Answers

Answer: B is the answer yup B

Find the value of each angle.

Answers

Answer:

1)112°

2)68°

3)90°

4)90°

5)22°

6)158°

Step-by-step explanation:

Answer:

1. 112º

2. 68º

3. 90º

4. 90º

5. 22º

6. 158º

Step-by-step explanation:

4 - vertical angle to 90º

3 - supplementary to 90º, 180º - 90º = 90º

2 - vertical angle to 68º

1 - supplementary to 68º

5 - all angles in a triangle add up to 180, 180º - 90º - 68º = 22º

6 - supplementary to 22º

Please help!!!!

Which equation is represented by the graph below?
a.) y = e^x +5
b.) y = e^x +4
c.) y = ln x + 4
d.) y = ln x + 5

Answers

Answer:

B

Step-by-step explanation:

The person above is correct

NEED HELP ASAP!

For every strike IBMissem throws in bowling he throws an average of 3 gutter balls.
If he throws 9 strikes after bowling all afternoon, how many gutter balls would he
have thrown?

Answers

27.

Simple math in a ratio of 1:3 in strike:gutter. 9x3 = 27 so there you go

Answer:

27

Step-by-step explanation:

I WILL GIVE BRAINIEST!! What is 5x+2y=24 in slope intercept form?

Answers

Answer:

I'm not sure what you mean but I will solve for everything

2y = 24 - 5x

y = -(5/2)x + 12

y int. = 12

slope is -5/2

x int = 24/5

I get it now

slope int. form is y = mx + b where m is -5/2 and b is 12

The scale of a map is 3 ft = 84
miles
Map: 4.5 ft
Actual miles:

Answers

The actual miles calculated for the given scale of a map is 126 miles.

What is referred as the unitary method?

It is a technique that determines the value of a single unit through subtracting the significance of multiple units from the value of a single unit.

The unitary method provides the value of many items, and we must either figure out the amount of more or lesser items.To do so, we must first figure out the worth of one item by division and afterwards multiply the value of more and fewer items.

Now, the given question;

The scale of a map is 3 ft = 84 miles

Using unitary method for solving this.

Convert the value for 1 foot.

1 foot  = 84/3 miles = 28 miles.

Now, calculate the value for the map of 4.5 ft.

4.5 feet = 28×4.5 miles

4.5 feet = 126 miles

Therefore, the value for map of 4.5 feet is estimated as 126 miles.

To know more about unitary method, here

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PLEASE HELP ME! EASY QUESTION PLEQSE EXPLAIN

Answers

Answer:

C

Step-by-step explanation:

Here, we want to interpret what is meant by m(10) = k

Originally M(n) represents the fee in dollars for an nth drive

So M(10) will represent the fee in dollars for the 10th drive and is equal to K dollars

Correct option is C

1.) 44247
44a4b
11a2b

Answers

Answer:

what?

Step-by-step explanation:

Consider the conditional statement: If M is the midpoint of line segment AB, then AB = 2AM.
a. What is the hypothesis p?
b. What is the conclusion q?
c. What is the truth value of the conditional statement if p is false and q is false? Explain your reasoning.

Answers

Answer:

Following are the solution to the given points:

Step-by-step explanation:

In point a:

The middle point of the segment AB will be the hypothesis, which is equal to M.

In point b:

The conclusion of AB = 2AM.  

In point c:

If p q is incorrect, after all, M is not really the middle point of a section AB, then the inference is wrong.

At the start of the challenge, Marisol is able to complete 32 sit-ups and plans to increase the number of sit-ups she completes daily by 2. At the start of the challenge, Kelly is able to complete 28 sit-ups and plans to increase the number of sit-ups she completes daily by 3. Which system of equations can be used to determine the number of days it will take for both to complete the same number of daily sit-ups?

Answers

Answer:

The system of equations can be used to determine the number of days it will take for both to complete the same number of daily sit-ups?

32 + 2d = 28 + 3d

The number of days it will take for both to complete the same number of daily sit-ups is 4 days

Step-by-step explanation:

Let the number of days it would take them to do daily sit ups be represented by d

At the start of the challenge, Marisol is able to complete 32 sit-ups and plans to increase the number of sit-ups she completes daily by 2.

= 32 + 2d

At the start of the challenge, Kelly is able to complete 28 sit-ups and plans to increase the number of sit-ups she completes daily by 3.

= 28 + 3d

We equate both Equations together

Marisol = Kelly

32 + 2d = 28 + 3d

The system of equations can be used to determine the number of days it will take for both to complete the same number of daily sit-ups is given as:

32 + 2d = 28 + 3d

Solving further:

We collect like terms

32 - 28 = 3d - 2d

d = 4 days

Hence, it will take for both of then 4 days to complete the same number of daily sit-ups .

Denver, Colorado often experiences snowstorms resulting in multiple inches of accumulatedsnow. During the last snow storm, the snow accumulated at (0.8) inch/hour. If the snow54continues at this rate for hours, how much snow will accumulate?

Answers

Answer:

43 inches

Step-by-step explanation:

Accumulation rate per hour = 0.8 inch / hour

If the snow continues at that rate for 54 hours ;

To obtain the amount of snow that will accumulate, we multiply the Accumulation rate per hour by the number of hours given ;

Accumulation rate per hour * number of hours

= 0.8 inch/hour * 54 hours

= 43.2 inches

= 43 inches (nearest whole number)

Use the equation to identify the slope and y-intercept, and graph on the coordinate plane. y = -2/3 x + 6. m = b =​

Answers

Answer:

(Slope) M = -2/3

(Y Intercept) B = 6

When you put the number down for the slope, do not include the x.

(The picture shown is the answer for what the equation is graphed in this case, if your graph is not big enough, read "Step-by-step explanation:".)

Step-by-step explanation:

When dealing with slopes, we use this formula: y = mx + b.

m - # before variable, this is your rise/run.

b - y intercept, this is the point you start on the graph.

When graphing, you need to put b (y intercept, "beginning") on the graph, in this case it's 6, so you need to put it at (0,6). Next, you use the rise/run. To do this, the numerator (-2) will be your "rise", so you move down 2, since this is a negative number. Then, your denominator (-3) will be your "run", so you move left 3, since this is a negative number.

If the graph is not big enough to go down or up, or left or right however much for the rise/run, turn the number (for ex. 2/3) positive if negative, and negative if positive, and use the rise/run to graph it.

Hope this helped, have a nice day.

Answer:

This is how I would graph it. Hope this helps! :)

Step-by-step explanation:

If you need a different way to graph lmk!

write the equation of a line parallel to the line with the equation
a. 3x- 6y=12 b. 5x-y=10

Answers

Answer:

[tex]y=\frac{1}{2}x+6[/tex] and [tex]y=5x+8[/tex]

Step-by-step explanation:

The big thing to remember with this is that parallel lines have the same slopes. We can isolate the y-variable in both of these to get the slope-intercept form, which just makes it easier to see the slope.

a. 3x-6y=12

[tex]-6y=-3x+12\\y=\frac{1}{2}x-2\\[/tex]

Now that we know the slope, we can have any y-intercept except for the original one, they just need to have the same slope. So an equation that could work is [tex]y=\frac{1}{2}x+6[/tex].

b. 5x-y=10

This equation can be solved in the exact same way.

[tex]-y=-5x+10\\y=5x-10[/tex]

Parallel line: [tex]y=5x+8[/tex]

Again, it does not matter what the y-intercept is, they just can't have the same one. The slopes have to be the same.

Hope this helps!

Triangle ABC has the following vertices:

• A(7,-2)
• B(-1,-8)
• C(5,0)

Is triangle ABC an isosceles triangle, and why?

Choose 1 answer:

A. Yes, because AB = BC.

B. Yes, because AC = BC.

C. No, because AC is longer than AB.

D. No, because ABC doesn't have a pair of sides with equal lengths.

Answers

Answer: I just did this it’s “yes, because AB=BC” I believe sorry if it’s wrong

Step-by-step explanation: you can go on a app and put the points so it can graph 4 u

An isosceles triangle is a triangle whose two sides are of equal length. Triangle ABC is an isosceles triangle because of AB= BC.

What is an Isosceles triangle?

An isosceles triangle is a triangle whose two sides are of equal length while the third side is of different length.


For the triangle to be an isosceles triangle, we need to find the length of each side of the triangle. Therefore, the length will be,

[tex]AB = \sqrt{(-1-7)^2+(-8-(-2))^2} = \sqrt{(-8)^2+(-6)^2} = 10[/tex]

[tex]BC = \sqrt{(5-(-1))^2+(0-(-8))^2} = \sqrt{(6)^2+(8)^2} = 10[/tex]

[tex]AC = \sqrt{(5-7)^2+(0-(-2))^2} = \sqrt{(-2)^2+(2)^2} = 2\sqrt2[/tex]

Since for a triangle to be an isosceles triangle, it is needed that the two sides of the triangle must be equal while the third side should have different lengths, and as in the given triangle the length of AB=BC. It is an isosceles triangle.

Hence, triangle ABC is an isosceles triangle because of AB= BC.

Learn  more about isosceles triangles:

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Write the numbers in decreasing order

1.3˙, -8/5, /13, pi, -0.7

Answers

Pi = 3.14
-8/5 = -1.6

-8/5, -0.7, 1.3, pi, 13

At jonathan's school, there are 30 seventh graders participating in the school play. of the students in the seventh grade, 60% are not participating in the school play. how many seventh graders at jonathan's school are not participating in the school play? a. 75 b. 60 c. 45 d. 20

Answers

Answer:

A) 75 students

Step-by-step explanation:

30 students = 40%

so 100% = 75

In the diagram, ray BD bisects \angle ABC∠ABC. Find m\angle ABCm∠ABC

Answers

Check the picture below.

[tex]8x-16=4x+20\implies 4x-16=20\implies 4x=36\implies x=\cfrac{36}{4}\implies \boxed{x=8} \\\\\\ (8x-16)~~ + ~~(4x+20)\implies 12x+4\implies 12(8)+4\implies \LARGE \begin{array}{llll} \stackrel{\measuredangle ABC}{100^o} \end{array}[/tex]

Lian's work is shown below. Steps Lian's Work Step 1 s + 40 = 68 Step 2 s + 40 minus 40 = 68 minus 40 Step 3 s = 28 In which step, if any, did Lian first make a mistake in her work? step 1 step 2 step 3 no mistake

Answers

Answer:

No mistake

Step-by-step explanation:

Given the equation solved by Lian expressed as;

s  + 40 = 68

Lian is to find the value of s from the equation, to do that you will follow the steps below;

Step 1: Substract 40 from both sides of the equation;

s  + 40 - 40 = 68 - 40

Step 2: Solve for s;

s  + 40 - 40 = 68 - 40

s + 0 = 68 - 40

s = 28

Based on the calculation, we can say that Lian made no mistake when solving

Answer:

D, no mistake.

Step-by-step explanation:

WILL MARL BRAINLIEST!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Select ALL the other ways to name ST.
SQ
SP
•V
S
T
R
line m
TS
line n
R

Answers

It would be Line m and TS

Find an expression equivalent to 18+ 30 Factors of 18: 1, 2, 3,6,9,18 Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 18-30 = 6(3 + 10)​

Answers

Answer:

Step-by-step explanation: njbhbhhhhhhhhhhhhhhhhhgvvvvvvv

HELP PLEASE !!!!!!!! ITS VERY URGENT!!!!!

Answers

Answer:

M TO L

Step-by-step explanation:

Its right there.

Answer: L

Step-by-step explanation:

Identify the ordered pair and quadrant (or axis) for each point on the graph.

Answers

Answer:

Top right: quadrant 1

Top left: quadrant 2

Bottom left: quadrant 3

Bottom right: quadrant 4

The first number of an ordered pair is the x axis, and the second is the y axis

A: 10,3 quadrant 4

B:8, 9 quadrant 2

c: 3,2 Q 3

D: 4,0 Q4

E:4,7 Q3

F: 8,7 Q1

G: 0,7 Q4

H: 1,5 Q1

After paying $4.76 for a sandwich, Michelle has $16.88. How much money did she start with?

Answers

Answer:

$21.64

Step-by-step explanation:

original amount = spent + remaining

original amount = 4.76 + 16.88

= $21.64

Answer:

Michelle started with $21.64.

Step-by-step explanation:

To solve this problem, we simply need to add he current price, or $16.88, to the amount she spent, or $4.76.

16.88 + 4.76 = $21.64

Therefore, Michelle started with $21.64.

Hope this helps! :D

Percentages are always out of 80

Answers

Answer:

False, percentages are out of 100

what is the slope of (2,3) and (6,4)

Answers

The slope would be 1/4

21.18 - 17.92 rounded to the nearest whole number

Answers

Answer:

3

Step-by-step explanation:

21.18-17.92=3.26

Rounded its 3

Tonisha is purchasing a number of stamps. She wants some idea of how many she can buy.

On a coordinate plane, a line goes through (1, 2) and (1.75, 4).

Using the equivalent ratios graph, how many stamps can she buy with $4.50?

stamps

Answers

Answer:

9 stamp

Step-by-step explanation:

Answer:

the answer is 9

Step-by-step explanation:

Here is an isosceles triangle.

Choose the true statements.
A. The triangle has two equal angles.
B. The triangle has an obtuse angle.
C. Two of the sides are the same length.​

Answers

Answer:

i not sure but o think its d

I believe the answer is C

Help me with my work

Answers

Answer: y = 5/4x + 2

Step-by-step explanation:

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Having reached the site he uproots trees and devastates the entire forest in search in the water angering two giants who live there. They regain their true forms as the gods Indra and Bayu and inform Bima with gratitude, that the water of life was not to be found in that forest at all. Bima then returns to Durna, who explains that the precious waters are now to be found at the bottom of he ocean. Derived from Javanese ethic page 116, Franz Magnis. Exercise 1 : Answer the question below 1. Who is Bima? 2. What did he want to do? 3. Who is Bimas rival? 4. What did Durna inform? 5. Who has been defeated by him? 6. What did Durna plan to do? 7. What does this on line 5 refer to? 8. What did Bima do arriving the forest? 9. Who informed the moving place of the water?10. 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