Question

A line passes through the point (-9,-8)

and is parallel to the graph y = - 4x + 4.
Write the equation that would represent
this line.

Answer 1

y = -4x - 44

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