Mathematics High School

Using the above​ technique, find the equation of the line containing the points (-2,7) (4,-2)

Answers

Answer 1

Equation of a line = y = mx +b

m = slope = change in y over the change in x

b = y intercept:

m = (-2 - 7) / (4 - -2) = -9/6 = -3/2

Now you have y = -3/2x + b

Use one of the points, replace y and x and solve for b:

7 = -3/2(-2) + b

Simplify:

7 = 3 + b

Subtract 3 from both sides:

b= 4

The equation is y = -3/2x + 4

Answer 2

Step-by-step explanation:

Hey there!.

The equation of a st.line passing through points (-2,7) and (4,2) is;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y - 7) = \frac{2 - 7}{4 + 2} (x + 2)[/tex]

Simplify it to get answer.

[tex](y - 7) = \frac{ - 5}{6} (x + 2)[/tex]

[tex]6(y - 7) = - 5(x + 2)[/tex]

[tex]6y - 42 = - 5x - 10[/tex]

[tex]5x + 6y - 42 + 10 = 0[/tex]

[tex]5x + 6y - 32 = 0[/tex]

Therefore the required equation is 5x+6y-32=0.

Hope it helps...

Related Questions

there are some coloured pins in a bag

Answers

Answer:

Green is 0.3, Yellow is 0.1

There are 12 green pins in the bag

Step-by-step explanation:

The probability is the ratio between the possible outcomes over the total outcomes

The value of the probability of possible outcomes is greater than 0 and smaller than 1 (0 < P < 1)The sum of the probabilities of all outcomes must equal 1

∵ A bag contains some green, yellow, purple and grey pins

∵ The probability of picking a purple pin P(purple) = 0.35

∵ The probability of picking a grey pin P(grey) = 0.25

→ The total of all possible outcomes is 1

∴ The sum of the probability of green and yellow pins = 1 - 0.35 - 0.25

∴ The sum of the probability of green and yellow pins = 0.4

∴ P(green) + P(yellow) = 0.4 ⇒ (1)

∵ The probability of picking a green pin is 3 times the probability

   of picking a yellow pin

∴ P(green) = 3 P(yellow) ⇒ (2)

→ Substitute (2) in (1)

∴ 3 P(yellow) + P(yellow) = 0.4

∴ 4 P(yellow) = 0.4

→ Divide both sides by 4

∴ P(yellow) = 0.1

∴ The probability of picking a yellow pin is 0.1

→ Substitute P(yellow) in (20 by 0.1

∴ P(green) = 3(0.1)

∴ P(green) = 0.3

∴ The probability of picking a green pin is 0.3

∴ Green = 0.3, Yellow = 0.1

∵ There are 14 purple pins in the bag

∵ P(purple) = 0.35

∴ 0.35 of purple pins = 14

→ To find the total number of pins in the bag divide 14 by 0.35

∴ The total number of pins = 14 ÷ 0.35

∴ The total number of pins = 40 pins

∵ P(green) = 0.3

∴ The number of green pins = 0.3 × 40

∴ The number of green pins = 12 pins

∴ There are 12 green pins in the bag


Need help ASAP Tysm!!






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　　ﾟ　　 Black was not An Impostor.　 。　.

　　'　　　 1 Impostor remains 　 　　。

　　ﾟ　　　.　　　. ,　　　　.　 .

Answers

Answer:

854

Step-by-step explanation:

Find the area of triangle then the square also I was ACTUALLY THE IMPOSTER AHAHAHAHAHAHHAHA

You run 35 yards and score a touchdown. How many feet is that?

Answers

Answer:

105

Step-by-step explanation:

theres 3 feet in a yard

CAN SOMEONE PLEASE HELP ME ASAP PLEASEE ANYBODY LITERALLY ANYONE OUT THERE PLEASE

Answers

Answer:

Y1 is parallel to Y2 and L1 to L2.

Step-by-step explanation:

A line is 180°. To find the degree the angles I subtracted 117 and 63 by 180 to find thair respective angles. (Also 117+63 equil 180) meaning that the Y's and L's are parallel to each other.

The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people?

A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.

Answers

Answer:

In the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.

Step-by-step explanation:

What is the reciprocal of 2 and 9 over 10?

Answers

Answer:

Part A:  [tex]\frac{1}{2}[/tex]

Part B: [tex]\frac{10}{9}[/tex]

Step-by-step explanation:

Part A: What is the reciprocal of 2.

2 is just [tex]\frac{2}{1}[/tex] in fraction terms. To find the reciprocal, you just have to flip it over. That would get to [tex]\frac{1}{2}[/tex]. Therefore, the reciprocal is [tex]\frac{1}{2}[/tex].

Part B: What is the reciprocal of 9 over 10?

9 over 10 in numerical terms is just [tex]\frac{9}{10}[/tex]. o find the reciprocal, you just have to flip it over. That would get to [tex]\frac{10}{9}[/tex]. Therefore, the reciprocal is [tex]\frac{10}{9}[/tex].

Hope this helped! If not, please let me know! <3

Answer:

10/29

Step-by-step explanation:

[tex]2\frac{9}{10}=\frac{29}{10}[/tex]

Reciprocal of [tex]\frac{29}{10}= \frac{10}{29}[/tex]

what does 3/4 + 1/3 =
quick answers i need to pass this

Answers

Answer:

1 1/12

Step-by-step explanation:

3/4 + 1/3

Get a common denominator of 12

3/4 * 3/3 = 9/12

1/3 * 4/4 =4/12

9/12 + 4/12

13/12

12/12 + 1/12

1 1/12

Determine the value of y, if x is 3.
y = | x | + 5
Answer:

Answers

Answer:

y=8

Step-by-step explanation:

l3l=3

3+5=8 so y=8

Y would have to equal 8 does this help

solve for the variable 2y+3=15 y=​

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2y+3=15

2y=12

y=6

Arjun has to pack 15,276 pastries into boxes of 6 pastries each. He has to pack all the pastries.
a. Which arithmetic operation can be used to find the number of boxes?
b. If Arjun took 1400 boxes to pack all pastries, Is he correct? Justify your answer.

Answers

Answer:

No, Arjun would need 2546 boxes

Step-by-step explanation:

Since he needs to pack 15,276 pastries into boxes of 6, this equation can be used to determine the amount of boxes needed. Hope this helps!

What temperature does the thermometer show?

Answers

56°

it goes up by 2 each small line

At school, the maximum number of students that can be in a classroom is 23. If there are 18 students signed up for the spanish class, how many more students can join the class?

Answers

Answer:

5 students

Step-by-step explanation:

We have to get the difference between these two numbers to find out how much space is left. 23 - 18 is 5.

What is the difference? Express the answer in scientific notation.

(4.34 times 10 Superscript negative 8 Baseline) minus (3.8 times 10 Superscript negative 8)
0.54 times 10 Superscript negative 16
5.4 times 10 Superscript negative 9
0.54 times 10 Superscript negative 8
5.4 times 10 Superscript negative 7

Answers

Answer:

What is the difference? Express the answer in scientific notation.

(4.34 times 10 Superscript negative 8 Baseline) minus (3.8 times 10 Superscript negative 8)

0.54 times 10 Superscript negative 16

5.4 times 10 Superscript negative 9

0.54 times 10 Superscript negative 8

5.4 times 10 Superscript negative 7

Step-by-step explanation:

The answer is B

Step-by-step explanation: I just took the test

Write the equation of the line passing through (-3,4) and perpendicular to -2x+7y=-3.​

Answers

your answer would be y= -2/7x + 4

52
If
169
289
, then the value of x is:
58
Ο Ο
b. 52
o
c. 68​

Answers

Answer:

Sorry,didn't understand your question..

btw thanks for free points

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Answer:

b

Step-by-step explanation:

What value of n makes the equation true?

0.7n + 0.8n = 2.1

A. n = 3.15
B. n = 0.60
C. n = 1.40
D.n = 3.60

Answers

Answer:

C. n=1.40

Step-by-step explanation:

just substitute it in or solve for the equations to get the unknown variable

0.7n + 0.8n = 2.1
1.5n = 2.1
=>n= 2.1/1.5= 1.4
So, the ans is C. 1.40

Can someone help me please? (I’ll give out brainliest)

Answers

the correct answer is 78 inches

A______ is always a rectangle

A. parallelogram

B. rhombus

C. square

D. trapezoid​

Answers

Answer:

A square is always a rectangle

Which statement is not true

Answers

Answer: A



Step by step: not the same length

Oscar's back yard is in the shape of a rectangle. It has an area
of 45 square meters. The length of Oscar's yard is 75 meters.
What is the width?

Answers

Your width is 0.6 if you divide 75 by 45 you get 0.6 and to check your answer do length times width to get the area 75x0.6=45

The questions are in the picture. please answer showing work

Answers

Answer:

what class is this?

Step-by-step explanation:

To get from his high school to his home, Jamal travels 9 miles east and 9 miles north. When Sheila goes to her home from the same high school, she travels 4 miles east and 5 miles south. What is the distance between Jamal's home and Sheila's home?

Answers

Answer:

14 miles north 5 miles east

Step-by-step explanation:

-5miles 9+5 because distance cant be negitive.

Answer:

14.6 miles

Step-by-step explanation:

Jamal will end up about \sqrt{162} from the school and Sheila will be about \sqrt{41}. They will be \sqrt{212} for each other or 14.6 miles.

I need help please, can you help me?

Answers

Since we know that the 2 lines are parellel, we know that the angles will add up to 180

sooo

180-119=61 (The angle in the traingle)

We know that the angles of a trinalge add up to 180

61+18+e=180

e=101 degrees

How you would convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem.

0.1515

Answers

Answer:

5/33

Step-by-step explanation:

........... Explanation in pic ...........

what is the value of 6^2

Answers

Answer:12

Step-by-step explanation:6x2=12

Answer:

its 36

Step-by-step explanation:

Plz Help and explain the process!....

Answers

I think m = 3. Because on the other all sides are equal. (12) and the other side is 3 so that most likely means all sides are 3. Hope this helps

Answer:

m = 3

Step-by-step explanation:

Since model ABCD has all equivalent side lengths, QRST is the same way, just smaller.

(Not sure if this is right, just the way I learned it!)


Malhematics
A triangle PQR in which PQ=8 PR= 6cm
and angle P= 60 degrees​

Answers

Answer:

What is the question? I canno't understand this without the full question or can you include a picture please?

Step-by-step explanation:


I don’t understand help please

Answers

I didn’t know which one to answer
I did question 9
Answer:
x=-1
do you need to show work?

FIND X

NEED HELP ASAP

Answers

Answer:

x = 15

Step-by-step explanation:

subtract 10 from both sides: x/3 = 5

multiply both sides by 3: x = 15

Answer:

x=15

Step-by-step explanation:

[tex]\frac{x}{3} +10=15\\\frac{x}{3}=5\\x=15[/tex]

(02.05 LC)

Triangle PQR is transformed to similar triangle P'Q'R'.

A coordinate grid is shown from negative 10 to 0 to positive 10 on both x- and y-axes at increments of 1. A triangle PQR has P at ordered pair 3, 3, Q at 6, 3, R at 3, 6. A polygon P prime Q prime R prime has P prime at ordered pair 1, 1, Q prime at ordered pair 2, 1, R prime at ordered pair 1, 2.

What is the scale factor of dilation?

1 over 2
1 over 3
1 over 4
1 over 5

Answers

Answer: 1 over 2

Step-by-step explanation: if you take the coordinates of the pre-image, letter A. which is (2,6) and the coordinates of the transformed image A’ which is (1,3) and only use the first number of the coordinates. You would put the number of of the pre-image as the denominator and the number of the transformed image as the numerator. And It would become 1/2.

[tex]Question[/tex]

A coordinate grid is shown from negative 10 to 0 to positive 10 on both x- and y-axes at increments of 1. A triangle PQR has P at ordered pair 3, 3, Q at 6, 3, R at 3, 6. A polygon P prime Q prime R prime has P prime at ordered pair 1, 1, Q prime at ordered pair 2, 1, R prime at ordered pair 1, 2.

What is the scale factor of dilation?

1 over 2

1 over 3

1 over 4

1 over 5

Answer:

The Answer Is 1 Over 2 :D

Step-by-step explanation:

Hope this Helps!!

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