Finding x- and y-intercepts What are x- and y-intercepts? A x-intercept is the point on a graph, at which the y-value of the ordered pair equals zero A y-intercept is the point on a graph, at which the x-value of the ordered pair equals zero. To find an x- and y-intercept on a graph... By: Brandon Clausen 1. Find where the linear graph of the line crosses the x- and y-axis. 2. The ordered pair of those points are the x- and y-intercepts of the graphed line. To find x- and y-intercepts algebraically... 3. So, the x-intercept of the graph above is (-1,0). And the y-intercept of the graph above is (0,1). Also, you should know that the terms, 'x-intercepts', 'roots', 'zeroes', and 'solutions', are interchangeable. y = 2x - 7 x-intercept y-intercept 1. To find the x-intercept, substitute the y-value in the equation with 0. 0 = 2x - 7 2. Solve the equation. + 7 + 7 7 = 2x 2 2 7 2 x = 3. So, the x-intercept of the equation is (7/2, 0). y = 2x - 7 1. To find the y-intercept, substitute the x-value in the equation with 0. y = 2(0) - 7 2. Solve the equation. y = 0 - 7 y = -7 3. So, the y--intercept of the equation is (0,-7). Example Problems 1. What is the y-intercept of the line in this graph? Another thing, you can have more than one x-intercept, depending on the degree of the equation. For example, the following equation would have 2 x-intercepts. Answer: The y-intercept of the line in this graph is (0,-4). 2. What is the x-intercept of the line in this graph? Answer: The x-intercept of the line in this graph is (1,0). 3. What are the roots of the parabola in this graph? Answer: The roots of the parabola in the graph are (1,0) and (5,0). 4. What is the y-intercept of the equation below? y = 6x + 12 Answer: The y-intercept of the equation is (0,12). 5. What is the y-intercept of the following equation? How many solutions could it have?

References http://www.algebrahelp.com/worksheets/view/graphing/intercepts.quiz http://www.uiowa.edu/~examserv/mathmatters/tutorial_quiz/geometry/findingxyintercepts.html http://www.purplemath.com/modules/intrcept.htm ACT QUESTION Answer: The y-intercept of the following equation is 3. This equation has 2 solutions. http://www.algebra.com/algebra/homework/quadratic/

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# Honors Algebra II Math Project

Finding x- and y-intercepts.

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