Find the y-intercept and x-intercept of the line.

4x-7y=-28

4x-7y+28=0

7y = 4x + 28

y = 4/7x + 4

Y intercept = 4

4x = 7y-28

x = 7/4y - 7

X intercept = - 7

(0, 4) and ( - 7, 0)

Step-by-step explanation:

Given

4x - 7y = - 28

To find the y - intercept, let x = 0 in the equation and solve for y

4 (0) - 7y = - 28

- 7y = - 28 (divide both sides by - 7)

y = 4 ← y - intercept ⇒ (0, 4)

To find the x - intercept let y = 0 in the equation and solve for x

4x - 7 (0) = - 28

4x = - 28 (divide both sides by 4)

x = - 7 ← x - intercept ⇒ ( - 7, 0)