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

Question

m=-4,(-2,-6)

Answer 1

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.