Question

Given the linear function f(x) = 6x + 12, determine the location of the x-intercept. (0, 2) (–2, 0) (2, 0) (0, 12)

Answer 1

Answer: (-2,0)

Explanation:

To find the x-intercept, let y be 0.

Then:

f(x) = 6x + 12

y = 6x + 12

0 = 6x + 12

6x + 12 = 0

6x = -12

x = -2

X-intercepts always have a y-coordinate of 0, therefore, the x-intercept is (-2,0).

Answer 2

x- intercept = (- 2, 0 )

Explanation:

the x- intercept is where the line crosses the x- axis

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

substitute y = f(x) = 0 into the equation and solve for x

0 = 6x + 12 ( subtract 12 from both sides )

- 12 = 6x ( divide both sides by 6 )

- 2 = x

the x- intercept is at the point (- 2, 0 )