We determine the y-intercept and the x-intercept as follows:
*x-intercept: We solve when y = 0, that is:
[tex]0=2x+8\Rightarrow2x=-8[/tex][tex]\Rightarrow x=-4[/tex]So, the x-intercept is located at (-4, 0).
*y-intercept: We solve when x = 0, that is:
[tex]y=2(0)+8\Rightarrow y=8[/tex]So, the y-intercept is located at (0, 8).