Answer:
The answer of your question is: y = - x + 11
Step-by-step explanation:
Data
A (3, 8)
B (9,2)
Formula
m = [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]
(y - y1) = m(x - x1)
Process
1.- Calculate the slope
m = [tex]\frac{2- 8}{9 -3}[/tex]
= [tex]\frac{-6}{6}[/tex]
m = -1 slope
2.- Substite point A and slope in the equation
(y - 2) = - 1(x - 9)
y - 2 = -x + 9
y = -x + 9 + 2
y = - x + 11 Solve for y