Answer:
The answer to your question is: y = -1/2 x + 1
Step-by-step explanation:
Data
A (-4 , 3)
B (6, -2)
Formula
[tex]m = \frac{y2 - y1}{x2 - x1} \\[/tex]
(y - y1) = m(x - x1)
Process
[tex]m = \frac{-2 - 3}{6 + 4}[/tex]
[tex]m= \frac{-5}{10}[/tex]
[tex]m = -\frac{1}{2}[/tex]
(y - 3) = -1/2 (x + 4)
2(y - 3) = -1(x + 4)
2y - 6 = -x - 4
2y = - x - 4 + 6
2y = - x +2
y = -1/2 x + 1
