Answer:
[tex] 2x + y = 4 [/tex]
Step-by-step explanation:
The two-point form of the equation of a line is:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
We have:
x1 = 3
y1 = -2
x2 = 6
y2 = -8
Plug in all the values where they belong in the equation above.
[tex] y - (-2) = \dfrac{-8 - (-2)}{6 - 3}(x - 3) [/tex]
Simplify.
[tex] y + 2 = \dfrac{-6}{3}(x - 3) [/tex]
[tex] y + 2 = -2(x - 3) [/tex]
[tex] y + 2 = -2x + 6 [/tex]
[tex] 2x + y = 4 [/tex]
