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More specifically, 1  an x-intercept is a point in the equation where the y-value is zero, and. 2  a y-intercept is a point in the equation where the x-value is zero.  Find the x- and y-intercepts of 25x2 + 4y2 = 9.
To find the x-intercept, set y = 0 and solve the equation. For example, to find the x-intercept of 5y - 2x = 10 : 5(0) - 2x = 10. -2x = 10. x = - 5. Thus, the x-intercept, or the point at which the line crosses the horizontal axis, is (- 5, 0) . To find the y-intercept, set x = 0 and solve the equation.For example to find the y-intercept of 5y - 2x = 10 : 5y - 2(0) = 10. 5y = 10.y = 10. y = 2. Thus, the y-intercept, or the point at which the line crosses the vertical axis, is (0, 2) . Hence, to find the intercept of either variable, set the other variable equal to 0 and solve for the original variable.