Answer
x-intercept: $(\frac{6}{5},0)$
y-intercept: $(0,6)$
Work Step by Step
$y=-5x+6$
Make $y=0$ to find the x-intercept:
$0=-5x+6$
$5x=6$
$x=\frac{6}{5}$
We have the point: $(\frac{6}{5},0)$
Make $x=0$ to find the y-intercept:
$y=-5(0)+6=0+6=6$
We have the point: $(0,6)$