Question

What are the x and y-intercepts of 3x-5y=15?
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Answer 1

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

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 )

Answer 2

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).