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The point B has coordinates (-4,2) and C has coordinates (-2,-2). We are going to calculate the slope of the line
Then, we are going to calculate the intercept using the slope m=-2 and the point (-4,2).
y=mx+b
2 = -2*(-4)+b
Isolating b we get
2-8=b= -6
The equation would be
y=-2x-6, option A