Answer:
y = -4x - 44
Step-by-step explanation:
Slope-intercept form: y = mx + b
Given equation: y = -4x + 4
Given point: (-9, -8)
To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b).
When two lines are parallel, their slopes are the same. Since the slope of the given line is -4, then the slope of the line parallel to it is also -4.
Now that we know the slope of the line, input the values of the slope and the given point into the equation format and solve for b:
y = mx + b
-8 = -4(-9) + b
-8 = 36 + b
Subtract 36 from both sides of the equation to isolate b:
-8 - 36 = 36 - 36 + b
-44 = b
The y-intercept is -44.
Now that we know the slope and the y-intercept, we can write the equation:
y = -4x - 44
