Write the equation of the line, with the given properties, in slope-intercept form. Slope = - 7 , through ( - 4 ,8 )

y = - 7x - 20

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 ⇒ y = - 7x + c

to find c substitute ( - 4, 8) into the equation

8 = 28 + c ⇒ c = 8 - 28 = - 20

y = - 7x - 20 → equation in slope - intercept form