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A two umn table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3.5, 1, negative 1.5. Which equations represent the data in the table? Check all that apply

Respuesta :

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Answer

A.y-6=-5/4(x+2)

D.y-1=-5/4(x-2)

E.y-3.5=-1.25x

Step-by-step explanation:

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The equation which represents the data values given in the table written in slope - intercept form is y = - 1.25x + 3.50

The data given :

X ____ Y

-2 ____ 6

0 ____ 3.5

2 ____ 1

4 ____ - 1.5

We could represent the equation in the form :

  • y = bx + c

b = slope = Rise / Run

b = slope = Rise / Run c = intercept

From the table :

Slope = (y2 - y1) ÷ (x2 - x1) = (6 - (-1.5)) / (-2 - 4) = 7.5/-6 = -1.25

Using any pair of (x, y) values, we can obtain the intercept value :

Using ; (2, 1)

1 = -1.25(2) + c

1 = - 2.50 + c

1 + 2.50 = c

c = 3.50

Therefore, the equation becomes ; y = - 1.25x + 3.50

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