Question

Find the ordered pairs for the x- and y-intercepts of the equation 8x - 2y = 16 and select the appropriate option below. The x-intercept is (-2, 0), the y-intercept is (0, 8). The x-intercept is (0, 2), the y-intercept is (-8, 0). The x-intercept is (2, 0), the y-intercept is (0, -8). The x-intercept is (0, -2), the y-intercept is (8, 0).

Answer 1

The given equation is

`8x-2y=16`

To find the x-intercept, we make y = 0.

`\begin{gathered} 8x-2\cdot0=16 \\ 8x-0=16 \\ 8x=16 \\ x=(16)/(8) \\ x=2 \end{gathered}`

Hence, the x-intercept is (2,0).

To find the y-intercept, we make x = 0.

`\begin{gathered} 8\cdot0-2y=16 \\ 0-2y=16 \\ -2y=16 \\ y=-(16)/(2) \\ y=-8 \end{gathered}`

Hence, the y-intercept is (0,-8).