To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation y = 3 x − 1 \displaystyle y=3x - 1 y=3x−1. To find the x-intercept, set y = 0 \displaystyle y=0 y=0.