What are the x and y-intercepts of 3x-5y=15?

Step-by-step explanation:

To find the x-intercept, set y = 0 in 3x-5y=15 and solve for x:

3x - 0 = 15, so x = 5 and the x-intercept is (5, 0).

To find the y-intercept, set x = 0 in 3x-5y=15 and solve for y:

0 - 5y = 15, so that y = - 3. The y-intercept is (0, - 3).

x - intercept = 5, y - intercept = - 3

Step-by-step explanation:

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

3 (0) - 5y = 15

- 5y = 15 (divide both sides by - 5)

y = - 3 ← y - intercept ⇒ (0, - 3)

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

3x - 5 (0) = 15

3x = 15 (divide both sides by 3)

x = 5 ← x - intercept ⇒ (5, 0)