The Y intercept is always when X equals 0. The X intercept is when Y equals 0. An easy way to find x and y intercepts is to substitute these variables with 0. To find the Y intercept, substitute 0 for X. Y=-.1(0)+1=1 So you know that when Y equals 1 and X equals 0, you have you Y intercept. Because we write coordinates as (X,Y), you can just plug in the numerals and have your coordinate for the Y intercept. So, x=0 y=1 (0,1) To find the X intercept, substitute 0 for Y. 0=-.1x+1 -Add .1x to both sides +.1x +.1x .1x=1 -Divide both side to get x by itself. .1x/.1=1/.1 x=10 So, we know that when y=0, x=10. This is our x intercept. Coordinate form is (X,Y) so our x intercept is (10,0)