Y-intercept = -13 x-intercept = 2.6 or 2 3/5 -13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept. () is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0. 0=5x-13 Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13. 0=5x-13 +13 +13 13=5x Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x. 13/5=5x/5 2.6 or 2 3/5=x Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.