Question

Determine the X-intercept and Y-intercept of the equation, y=2x+8

Answer 1

We determine the y-intercept and the x-intercept as follows:

*x-intercept: We solve when y = 0, that is:

`0=2x+8\Rightarrow2x=-8`
`\Rightarrow x=-4`

So, the x-intercept is located at (-4, 0).

*y-intercept: We solve when x = 0, that is:

`y=2(0)+8\Rightarrow y=8`

So, the y-intercept is located at (0, 8).