Answer:
m = -3/4; b = -2
Step-by-step explanation:
y = mx + b
First, we use the coordinates of the points to find the slope, m.
m = (y2 - y1)/(x2 - x1) = (-2 - (-5))/(0 - 4) = (-2 + 5)/(-4) = -3/4
The slope, m = -3/4.
Now we use the slope and the coordinates of one point in the equation y = mx + b to find b.
y = mx + b
y = (-3/4)x + b
Let's use point (0, -2).
-2 = (-3/4)(0) + b
b = -2
Answer: m = -3/4; b = -2