Point-Slope Form

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.  The problem is m = - 5, (-2,-7)

slope = -5, (-2,-7)
substitute into point slope form:
y - y1 = m(x - x1)
y - (-7) = -5(x - (-2)
y + 7 = -5(x + 2) {minus negative is plus}
y + 7 = -5x - 10 {distributive property}
5x + y = -17 {add 5x and subtract 7 from both sides to get into standard form}

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