Complete the equation of the line through
(2,1)
and
(5,−8)

y = -3x + 7

Step-by-step explanation:

First calculate the slope which I will assign the variable m

slope = m = (y2-y1)/(x2-x1)

m = (-8-1)/(5-2)

m = -9/3

m = -3

Next, using the slope we just found, pick either point and plug into the point slope equation: (I like the first point better so I am going to use that one)

y-y1 = m(x-x1)

y-1 = -3(x-2)

y-1 = -3x + 6

y = -3x + 7