Question

Write an equation in slope-intercept form of the line that passes through (1,-9) and (-3,-9)

Answer 1

Answer: y = 9

Step-by-step explanation:

Since two points are given , we will use the formula for finding the equation in two points form , which is

$\frac{y -y_{1}}{x -x_{1}}$ = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$x_{1}$ = 1

$x_{2}$ = -3

$y_{1}$ = -9

$y_{2}$ = -9

Substituting into the formula , we have

$\frac{y-(-9)}{x - 1}$ = $\frac{-9-(-9)}{-3-1}$

$\frac{y+9}{x - 1}$ = $\frac{-9+9}{-3-1}$

$\frac{y+9}{x - 1}$ = $\frac{0}{-4}$

$\frac{y+9}{x - 1}$ = 0

y + 9 = 0

y = 9