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Answer:
y = -1/2x - 2
Step-by-step explanation:
First thing you want to do is find the slope.
Slope = y^2 - y^1 / x^2 - x^1
m = -2 - 0 / 0 - (-4)
m = -2 / 4
m = -1/2 ---> this is your slope.
Let's find the y-intercept of the equation now using either of the given points. I'll pick (-4, 0).
y = mx + b
0 = -1/2(-4) + b
0 = 4/2 + b
0 = 2 + b
-2 -2
------------------------
-2 = b
So, y = -1/2x - 2 is the equation of the line that passes through (-4, 0) and (0, -2).