Find the x - and y - intercepts of the line 3x-4y=12

see explanation

Step-by-step explanation:

Given

3x - 4y = 12

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

3x - 4 (0) = 12

3x = 12 (divide both sides by 3)

x = 4 ← x - intercept ⇒ (4, 0)

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

3 (0) - 4y = 12

- 4y = 12 (divide both sides by - 4)

y = - 3 ← y - intercept ⇒ (0, - 3)