Use the work shown below to write the equation for a line that passes through the points (−5, 0) and (−1, −8). 1. use slope formula to find slope: 2. substitute one point and slope into slope-intercept form to find the y-intercept: what is the equation of the line in slope-intercept form?

The following equation is an equation of a line in slope-intercept form
y = mx + b
(x,y) represents one of the points lies on the line, m represents the slope, b represents the y-intercept

The line above passes through the points:
(x₁,y₁) = (-5,0)
(x₂,y₂) = (-1,-8)

1. Find the slope with slope formula
m = 
m =
m =
m =
m = -2
The slope is -2

2. Find the y-intercept by subtituting (x,y) = (-5,0) and m = -2 into slope-intercept form
y = mx + b
0 = -2(-5) + b
0 = 10 + b
b = -10
The y-intercept is -10

3. Therefore the line equation will be
y = mx + b
y = -2x - 10