Question

This table gives a few (x,y) pairs of a line in the coordinate plane

Answer 1

Answer:

-41

Step-by-step explanation:

Use 2 points to find the equation of the line using the 2-point form of the equation of a line. Then we write the equation in the slope-intercept form to find the y-intercept.

$y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)$

We can use points (-36, -117) and (-27, -98), so

x1 = -36

x2 = -27

y1 = -117

y2 = -98

$y - (-117) = \dfrac{-98 - (-117)}{-27 - (-36)}(x - (-36))$

$y + 117 = \dfrac{19}{9}(x + 36)$

$y + 117 = \dfrac{19}{9}x + 76$

$y = \dfrac{19}{9}x - 41$

The y-intercept is -41.