My teacher never taught us this, but expects us to know

I'll do problem 77 to get you started

Point slope form is this general equation

y - y1 = m(x - x1)

with m as the slope and (x1,y1) as the point the line goes through. In this case, m = -4 and (x1,y1) = (-2,9)

Plug those values into the equation to get...

y - y1 = m(x - x1)

y - 9 = -4(x - (-2))

y - 9 = -4(x + 2) see note 1

y - 9 = -4x - 8

y = -4x - 8 + 9

y = -4x + 1 see note 2

note 1: If your teacher wants the answer in point slope form, then you stop on this line. Otherwise, keep going

note 2: This is in slope intercept form y = mx+b with m = -4 as the slope and b = 1 as the y intercept

congruent segments

step-by-step explanation: