Click here to see the graph of the function y=2.5x+5

To find the x-intercept plug y = 0 into y=2.5x+5

2.5x + 5 = 0

x = -5/2.5

x = -2

(-2, 0) is the x-intercept

To find the y-intercept plug x = 0 into y=2.5x+5

y = 2.5*0 + 5

y = 5

(0, 5) is the y-intercept.