Answer:
y = -2/3x - 4
Explanation:
Formula: y = mx + b
m (slope)
b (y-intercept)
Slope Formula: y2 - y1 ÷ x2 - x1
Substitute: -8-(-2) = -8+2 = -6
6-(-3) = 6+3 = 9
-6/9 (funny, I know)
Simplify --> -2/3
slope = -2/3
Substitute for the y-intercept --> to do this, we plug in a coordinate pair
-8 = -2/3(6) + b
-8 = -4 + b => add 4 to both sides
b = -4, and thus, our y-intercept is -4
Plug our values into the formula: y = mx + b
y = -2/3x + (-4)
simplify to get our final equation
y = -2/3x - 4