Answer:
y = (-2/3)x - 4
Step-by-step explanation:
As we move to the right from (-3,-2) to (6,-8), x increases by 9 and y decreases by 6. Thus, the slope of the line connecting these two points is
m = rise / run = -6 / 9 = -2/3.
Starting with the slope-intercept form of the equation of a straight line,
y = mx + b, and substituting -2/3 for m, -8 for y and 6 for x, we get the following equation, which enables us to solve for the y-intercept, b:
-8 = (-2/3)(6) + b, or
-8 = -4 + b
Then b = -4, and the desired equation is
y = (-2/3)x - 4.
