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Published byLiliana Quinn Modified over 6 years ago

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3.2 Intercepts

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Intercepts X-intercept is the x- coordinate of a point when the graph cuts the x-axis Y-intercept is the y- coordinate of a point when the graph cuts the y-axis *** To graph a linear equation, find x and y intercepts then plot the points (0, -3) (5,0) Therefore: x-intercept is 5 and y-intercept is -3

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How to find intercepts? To find x-intercept: replace y by 0, solve for x To find y-intercept: replace x by 0, solve for y Ex: 2x + 3y = 6 X-intercept: 2x + 3(0) = 6 2x = 6 x = 3 so x-intercept is (3,0) Y-intercept: 2(0) + 3y = 6 3y = 6 y = 2 so y-intercept is (0,2)

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Graph: 5x +2y = -10 using x-intercept and y-intercept 5x +2y = -10 X-intercept is (-2, 0) Y-intercept is (0, -5) 5x +2y = -10

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Ax + By = 0 This graph will go through the origin (0,0)

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Y = k Horizontal line, through (0,k) Ex: y = 2

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x = k Vertical line, through (k,0) Ex: x = 2

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