What is the equation in point-slope form of the line passing through (−2, 1) and (4, 13)

y = 2x + 5

Step-by-step explanation:

We have two points,

(-2,1) and

(4,13)

from which we can find the slope, m, where

m = (13-1)/(4--2) = 12/6 = 2

take any of the two points to form the point-slope form

y-y1 = m(x-x1)

y-13 = 2 (x-4)

y = 2x - 8 + 13 =2x+5

Check:

when x = -2, y = 2(-2)+5 = 1 checks.

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol