Slope=-7, through (-5,9)

y = - 7x - 26

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c (m is the slope and c the y - intercept)

Here m = - 7, thus

y = - 7x + c ← is the partial equation of the line

To find c substitute ( - 5, 9) into the partial equation

9 = 35 + c ⇒ c = 9 - 35 = - 26

y = - 7x - 26 ← equation of line