Answer:
y = -4/3x -2
Explanation:
You want the equation of the line through the two points (-3, 2) and (0, -2).
Slope
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-2 -2)/(0 -(-3)) = -4/3
Intercept
The y-intercept is the value of y when x=0. The point (0, -2) tells you that is b = -2.
Slope-intercept equation
The slope-intercept equation for the line is ...
y = mx +b
Using the values we found for m and b, this is ...
y = -4/3x -2
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