Question

What is an equation of the line that is parallel to y = 3x-8 and passes
through the point (4,-5)?

Answer 1

Parallel lines have equal slopes, so the slope of the line we want to find is 3.

Substituting into point-slope form,

$y+5=3(x-4)\\\\y+5=3x-12\\\\\boxed{y=3x-17}$