Question

Write the write the equation of the line in slope intercept form that passed through (-8, -1) and is parallel to y= -1/4x +9

Answer 1

Parallel lines have equivalent slopes, so since the slope of the given line is -1/4, the slope of the line we want to find is also -1/4.

Substituting into point-slope form and rearranging into slope-intercept form,

$y+1=-\frac{1}{4}(x+8)\\\\y+1=-\frac{1}{4}x-2\\\\\boxed{y=-\frac{1}{4}x-3}$