Question

Write an equation for the line that is parallel to the given line and that passes through the given point.

Answer 1

Parallel to y = 3/4x - 9 and passes through (-8, -18)

Identify the slope : our slope is 3/4

Remember that parallel equations have the same slope, so both slopes are 3/4

Now, we have to find the y-intercept. Simply plug everything into the slope intercept form equation.

y = mx + b

(-18) = (3/4)(-8) + b

Simplify.

-18 = -6 + b

Add 6 to both sides.

-18 + 6 = b

Therefore, our y-intercept is -12.

Now plug everything into the slope intercept form.

y = mx + b

y = 3/4x - 12

~Hope I helped!~