Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2.7) and (-1,5)

Answers

Answer 1

Answer:

The equation in the slope-intercept form will be:

y = -2x + 3

Step-by-step explanation:

Given the points

(-2, 7)(-1, 5)

Finding the slope between the points

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

[tex]\left(x_1,\:y_1\right)=\left(-2,\:7\right),\:\left(x_2,\:y_2\right)=\left(-1,\:5\right)[/tex]

[tex]m=\frac{5-7}{-1-\left(-2\right)}[/tex]

[tex]m=-2[/tex]

We know that the slope-intercept of line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

substituting m = -2 and the point (-2, 7) to find the y-intercept 'b'

y = mx+b

7 = -2(-2) + b

7 = 4 + b

b = 7-4

b = 3

so the y-intercept = b = 3

substituting m = -2 and b = 3 in the slope-intercept form of line equation

y = mx+b

y = -2x + 3

Thus, the the equation in the slope-intercept form will be:

y = -2x + 3

Related Questions

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP SHOW YOUR WORK


1. -2 ¼ ÷1 ¼

Answers

Answer:

-1/2 Brainliest me please

Step-by-step explanation:

1/4+1/4= 0.5

-2 + 1 = -1

0.5+(-1) = -0.5

-0.5 as a fraction Is -1/2

Solve the equation 2 (x - 1/2)=3(5 - 2x) Show the steps in your solution.

Answers

Answer:

x = 2

Step-by-step explanation:

2(x - 1/2) = 3(5 - 2x) (distribute 2 and 3)

2x - 1 = 15 - 6x (add 6x on both sides)

8x - 1 = 15 (add 1 on both sides)

8x = 16 (divide both sides by 8)

x = 2

CHECK

2(2 - 1/2) = 3(5 - 2(2)) (solve what's in parenthesis)

2(1.5) = 3(1) (distribute)

3 = 3

Hope this helps ya!

B ya b that sounds right

4(x + y) – 6 = -8
choose a variable and solve the equation

Answers

Answer:

Step-by-step explanation:

4(x + y) - 6 = -8

4x + 4y - 6 = -8

            + 6 = +6

   4x + 4y     = -2    

The admission cost to enter a fair is $5. The cost to ride each ride at the fair is
$1.50. Julie received a 12-off coupon that applies to the admission price. Julie decides
to graph the total cost on the y-axis and the number of rides on the x-axis, using the
equation y =1.50x +5 to represent the total cost, and the equation y =1.50x + 2.50
to represent the discounted cost. Which best describes the appearance of the
discounted cost line to that of the regular cost line?
A. less steep
B. more steep
C. same steepness, discounted cost line closer to the origin
D. same steepness, discounted cost line farther away from the origin

Answers

Answer:

Step-by-step explanation:

ne spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?

First, identify what the question is asking for.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the numbers.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a b

Need somebody to explain how to do this, and how they got the answer, please and thank you.

Answers

Answer:

show that the points A(7,10),B(11,2)and c(-5,-6) are the points on circumference of a circle having centre P(1,2) by finding the distance AP,BP and CP

Please help me for brainlyst !!!!!!!!!!!!!!!!

Answers

Answer:

the answer is c JUST guessing it might not be correct

please help me, please and thank you!​

Answers

Answer:

15.9

Step-by-step explanation:

just because it is the bigger side of the triangle

if 0<0<90, is sin 0 equal to cos (90-0) and for what reason

Answers

Answer:

When the angle becomes zero, then the base becomes 0, and the perpendicular and the hypotenuse becomes the same line. Since in cos 90, base is 0, therefore therefore cos 90 is zero

Step-by-step explanation:

Find the common difference. same as umber 1
2.) 21, 121, 221, 321
A.) d=-98
B.) d=100
C.) d=98
D.) d=-99

Answers

Answer: B.) d = 100

You add 100 to 21, you get 121.

You add 100 to 121, you get 221.

You add 100 to 221, you get 321.

And so on-

Hope dis helps :)

We want to find the zeros of this polynomial: p(x)=(2x-1)(x+3)(x+1)(x-2) Plot all the zeros (xxx-intercepts) of the polynomial in the interactive graph.

Answers

Answer:

i don't understand the question

Answer:

Step-by-step explanation:

(2x+5) x=-5/2

(x+1) x=-1

(x-3) x=3

Help please I don’t know

Answers

im pretty sure that means what is y when x is -5. the answer is 5

Kia has 4 necklaces , 7 bracelets ,and 5 rings to bracelets

Answers

Answer:

What are you asking?

Step-by-step explanation:

please explain dis ahhhhhhhhhhhhh

Answers

Answer: 80

Step-by-step explanation:

because if you took off a 70 or 71 it would go above 86 if you took of 85 it would be below 86 so it has to be 80

Answer:

ok

Step-by-step explanation:

5x - 4y = 19
x + 2y = 8

Answers

Answer:

not sure what your question is but if youre trying to solve for the system of equations your awnser is (5,3/2)

Answer:

x= 5, y= 3/2

Step-by-step explanation:

5x -4y =19 (Equation 1)

x+ 2y=18 (Equation 2)

Using substitution method,

From equation(2),make x the subject of formula

x= 8-2y (Equation 3)

Substitute equation 3 into equation 1

5x -4y= 19

5(8-2y) -4y = 19

40 -10y -4y = 19

40-14y=19

Collect like terms

40-19=14y

21=14y

y= 21/14 = 3/2

Substitute for y in equation 3

x= 8 -2y

   8- 2(3/2)

  =8 -3

x = 5

help, very important hw!!!

Answers

The stem-and-leaf plot for the distribution is given as follows:

1| 92| 2 2 3 5 7 7 8 83| 0 1 1 2 3 3 4 5 5 5 7 8 9 4| 0 0 1 3

b) From the plot, the correct options are given as follows:

A typical content is 32 calories per 100 ml.The distribution is roughly symmetric.

What is a stem-and-leaf plot?

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

For this problem, the observations are given at the top in red, and using each first digit as the key, the stem and leaf plot is:

1| 92| 2 2 3 5 7 7 8 83| 0 1 1 2 3 3 4 5 5 5 7 8 9 4| 0 0 1 3

The mean of these observations is:

(19 + 2 x 22 + 23 + 25 + 2 x 27 + 2 x 28 + 30 + 2 x 31 + 32 + 2 x 33 + 34 + 3 x 35 + 37 + 38 + 39 + 2 x 40 + 41 + 43)/26 = 32(approximately)

The correct statements from the plot are as follows:

A typical content is 32 calories per 100 ml(due to the mean).The distribution is roughly symmetric(13 values below the mean, 13 at or above).

More can be learned about stem-and-leaf plots at https://brainly.com/question/28015028

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two negative integers are 8 units apart on the number line and have a product of 308. which equation could be used to determine x, the smaller negative integer? x2 8x – 308

Answers

The equation that could be used to determine x is ([tex]x^{2}[/tex] + 8x - 308).

As per the question, the small integer is x. So, the large integer will be (x + 8).

Also, the question mentions that their product is 308. Representing the given information in mathematical equation form -

x (x + 8) = 308

Performing multiplication on Left Hand Side of the equation

x² + 8x = 308

Shifting 308 from Right Hand Side to the Left Hand Side of the equation. the equation that will form is -

x² + 8x – 308 = 0

On solving this quadratic equation, we will get the negative numbers, which will validate our formed equation.  

x² + 8x – 308 = 0

x² + 22x - 14x – 308 = 0

x (x + 22) - 14 (x + 22) = 0

(x + 22) (x - 14) = 0

x = -22 and 14

Since the numbers are negative, hence, value of small number is -22.

Large number = -22 + 8

Large number = -14

Thus, the small and large number is -22 and -14.

Therefore, the correct equation is x² + 8x – 308 = 0.

Learn more about problems on product of integers -

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The complete question is -

Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? x² + 8x – 308 = 0 x²  – 8x + 308 = 0 x²  + 8x + 308 = 0 x²  − 8x − 308 = 0

5. Find the magnitude of 4i + 3j​

Answers

Answer:

5

Step-by-step explanation:

The magnitude of the complex number is expressed as;

|z| = √x²+y²

Given the complex number z = 4i+3j, x = 4 and y = 3

Substitute

|z| = √x²+y²

|z| = √3²+4²

|z| = √9+16

|z| = √25

|z| =5

Hence the magnitude is 5

what is the solution to the system of equations below?
y = -6x -10 and y = -1/2x -21
1. (2, -22)
2. (2, 48)
3. (-2, 2)
4. (-2, -20)

Answers

Answer:

1

Step-by-step explanation:

A system of equation is a set of a number of equation used for finding their solution. The solution of the given system of equations is (2,-22). The correct answer is option 1.

What is a system of equations?

A system of linear equation can be defined as a number of equations needed to find the solution. On the basis of the number of solutions a set of equations can be called either consistent or inconsistent.

The given equations are

y = -6x -10 and y = -1/2x -21

They can be rewritten as,

y + 6x = -10 ------------------- (1)

2y + x = -42 ------------------- (2)

To get the value of x ,

(2y + x) - 2(y + 6x) = -42 - 2×(-10)

=> -11x = -22

=> x = 2

Substitute x = 8 in equation (1) to get y,

y = -10 - 12

y = -22

Hence, the solution for the given system of equation is (2,-22).

To know more about System of equations click on the following link

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PLEASE ANSWER QUICK I NEED TO FINISH IN 50 MINUTES FOR MY TEST

James and Willis are both painting a room. James could complete it in 6 hours by himself. Together they can complete the room in 2 hours. How long would it take Willis to paint the room by himself?

Answers

Answer: Willis will take 3 hours to paint the room by himself.

Step-by-step explanation:

Given: Time taken by James to complete job by himself = 6 hours

Let Time taken by Willis to complete job by himself = t hours

Together they take 2 hours.

[tex]\dfrac{1}{6}+\dfrac{1}{t}=\dfrac{1}{2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{2}{6}\\\\\Rightarrow\ t=\dfrac{6}{2}\\\\\Rightarrow\ t=3[/tex]

So,  Willis will take 3 hours to paint the room by himself.

22. Which measures could be the side lengths of
a right triangle?
А. 7 cm, 21 cm, 25 cm
B. 30 cm, 72 cm, 78 cm
C. 3 cm, 5 cm, 9 cm
D. 7 cm, 25 cm, 26 cm

Please Help me !!!!!!!

Answers

Answer:

b and d I think are both right but if you can only pick one go with B

The measure that could be the side lengths of a right triangle is 30 cm, 72 cm, 78 cm, the correct option is B.

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that;

The right triangle

Now,

We can use this equation to test each option by plugging in the values and checking if they satisfy the equation.

A. 7 cm, 21 cm, 25 cm

7^2 + 21^2 = 25^2

49 + 441 = 625

490 = 625

False

This option does not satisfy the Pythagorean theorem, so it cannot be the side lengths of a right triangle.

B. 30 cm, 72 cm, 78 cm

30^2 + 72^2 = 78^2

900 + 5184 = 6084

6084 = 6084

True

Therefore, by right angle triangle the answer will be 30 cm, 72 cm, 78 cm.

Learn more about a right angle triangle;

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For the function f(x)•= x2 + 4, identify the values of f(0),
f(1/2), and f(-1).

Answers

Answer:

the question is wrong may be.

please help me if you don’t know the answer, please don’t answer it.

Answers

Answer:

Step-by-step explanation:

(1/2)/3 = x/4

1/6=x/4

x=4/6 = 2/3

x = 4/6 = 2/3 is the answer, hope this helps!!

Dr. Roberts just started an experiment. She will collect data for 9
days. How many hours is this?

Answers

Answer:

24 h /day

y=24x

if x = days y= the amount of hours

Step-by-step explanation:

r= √a/3
rearrange to make a the subject
srslyyyyy helpppp​

Answers

Answer:

a = 9r²

Step-by-step explanation:

Given

r = [tex]\frac{\sqrt{a} }{3}[/tex] ( multiply both sides by 3 to clear the fraction

3r = [tex]\sqrt{a}[/tex] ( square both sides )

(3r)² = ([tex]\sqrt{a}[/tex] )²

9r² = a

Given g(x) = 1/2x+ 5, find the following.

g(4)
g(-10)
g(0)

Answers

Answer:

g4

Step-by-step explanation:

m

Write an expression that is equivalent to:
12x - 3

Answers

3(4x-1)=12x-3
Hope this helps

!!!I need help in this answer

Answers

The answer should be x=3 and y=-2 so I’m unsure why that is not an answer
:( maybe ask ur teacher about it

PLEASE PLEASE PLEASE HELP MEE!

10 POINTS!

Answers

Step-by-step explanation:

—Math

y = x + 8

x = 2 ==> y = 10

x = 0 ==> y = 8

x = 4 ==> y = 12

Follow my account^^

Angles 1 and 2 are supplementary.

2 lines intersect to form angles 1 and 2.
Which equation represents the relationship between their measures?

mAngle1 + mAngle2 = 90°
mAngle1 + mAngle2 = 100°
mAngle1 + mAngle2 = 180°
mAngle1 + mAngle2 = 200°

Answers

Answer:

C.

m<Angle1+m<angle2 will add to 180 since the sum of supplementary angles are equal to 180°.

Step-by-step explanation:

Answer:

C. mAngle1 + mAngle2 = 180.

Explanation: This is the correct answer on Edge 2021, just took the Unit test and made a 100%. Hope this helps ^-^.

Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution.

7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. negative 2 x minus 1 = negative 2 x minus 1.

Which of Jubal’s equations has no solution?
7 x + 1 = 7 x+ 1
3 x + 2 = 3 x minus 2
4 x + 1 = 3 x + 8
negative 2 x minus 1 = negative 2 x minus 1

Answers

Answer:

3x + 2 = 3x - 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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