Question

What is the x-intercept of the line with the equation y = 3 x minus 6? a. 2 c. -6 b. -2 d. 3

Answer 1

x-intercept = 2

Explanation:

Given function:

y = 3x - 6

To find the x-intercept, set y equal to zero and solve for x.

0 = 3x - 6

3x - 6 = 0

Add 6 to both sides

3x = 6

Divide both sides by 3

x = 2 {answer}

Answer 2

a

Explanation:

the x- intercept is the value of x on the x- axis where the line crosses.

The y- coordinate of any point on the x- axis is 0

substitute y = 0 into the equation and solve for x

y = 3x - 6 ← substitute y = 0

0 = 3x - 6 ( add 6 to both sides )

6 = 3x ( divide both sides by 3 )

`(6)/(3)` =
`(3)/(3)` x , that is

2 = x

the x- intercept is then x = 2 or (2, 0 ) in coordinate form