Question

What is the x intercept of the line defined by 2x-3y=12

Answer 1

x- intercept = 6 or (6, 0 )

Explanation:

to find the x-intercept, that is where the graph crosses the x-axis, let y = 0 in the equation and solve for x

y = 0 : 2x - 0 = 12 ⇒ 2x = 12 ⇒ x = 6 ← x- intercept

Answer 2

x-intercept for y = 0.

Put y = 0 to the equation os a linear function:

2x - 3(0) = 12

2x = 12 divide both sides by 6

x = 6

Answer: x-intercept = 6 → (6, 0)