The equation of a line with slope m that passes through the point (x1,y1) is given by the point-slope form:
y - y1 = m(x - x1)
Therefore, the equation of the line with slope m = -4 and passing through the point (-2,-6) becomes:
y - (-6) = -4(x - (-2))
Simplifying this equation, we can rewrite it in the form Ax + By = C:
y + 6 = -4(x + 2)
y + 6 = -4x - 8
4x + y + 6 = -8
4x + y + 14 = 0
Therefore, the equation of the line is 4x + y + 14 = 0.
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C
m=-4,(-2,-6)
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