Answer
Y-Intercept: $(0,-8)$
X-Intercept $(8/5,0)$
Work Step by Step
To find any intercept of a graph, you make one of your variables equal to 0
1. To work out your Y-intercept, you make x=0
$Y=5(0)-8$
Therefore, the Y-intercept (where the graph cuts the y-axis) is $(0,-8)$
2. To work out your X-Intercept, you make Y=0
$0=5x-8$
Therefore, the X- intercept (where the graph cuts the x-axis) is $(8/5,0)$