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

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: