First we will write the point-slope form:

y - y1 = m(x - x1), where m is the slope and (x1, y1) are the coordinates of a point on the line

In our case m = 5, (x1, y1) = (-1, -7) so the point=slope equation is:

y - (-7) = 5(x - (-1))

y + 7 = 5(x + 1)

Since the standard form of an equation is Ax + By = C, where A, B and C are integers we have:

y + 7 = 5(x + 1)

y + 7 = 5x + 1

y - 5x = 1 - 7

y + (-5)x = -6

The standard form is y + (-5)x = -6.