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)

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}

- Algebra House

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}

- Algebra House