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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.
Step-By-Step Solution: To find the x-intercept, substitute in for and solve for . Since is on the right side of the equation, switch the sides so it is on the left side of the equation. Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides. Multiply each term in by.