Question

Find the y-intercept and x-intercept of the line.
4x-7y=-28

Answer 1

4x-7y+28=0
7y= 4x + 28
y= 4/7x + 4

Y intercept = 4

4x= 7y-28
x= 7/4y -7

X intercept = -7

Answer 2

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

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 )