Write an equation of the line that goes through Point A (3, 5) and Point D (-2, 10). Explain each step and show all work

y=-1x+8

Step-by-step explanation:

use slope formula y2-y1/x2-x1 to find the slope

10-5/-2-3

simplify

5/-5

simplify

-1

now you have to find the y-intercept using y=mx+b

y=-1x+b

plug either ordered pair in to find b, I am using (3,5)

(5)=-1(3)+b

simplify

5=-3+b

add 3 to both sides

b=8

now plug b into y=-1x+b to find the equation of the line

y=-1x+8