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Published byHerbert Sutton Modified over 4 years ago

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Graphs of Equations Finding intercepts of a graph Graphically and Algebraically

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c b Intercepts Graphical Approach x-axis y-axis a d a, b, and c are x-intercepts ( y = 0) d is a y-intercept ( x = 0) Algebraic Approach x-intercept: Set y = 0 and solve for x y-intercept: Set x = 0 and solve for y

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Example 1 Find the x-intercept(s) and y-intercepts(s) if they exist. -3 2 1.5 67 x-axis y-axis 1) 2) x-axis y-axis 3 4 Solution: x-intercept(s): x = -3, 1.5, 6 and 7 y-intercept(s): y = 2 Solution: x-intercept(s): Does Not Exist ( D N E ) y-intercept(s): y = 3

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Example 2 Find the x-intercept(s) and y-intercept(s) of the equation x 2 + y 2 + 6x –2y + 9 = 0 if they exist. Solution: x-intercept(s): Set y = 0. x2 x2 + 6x + 9 = 0 ( x + 3) 2 = 0 x = - 3 Point ( -3,0) y-intercept(s): Set x = 0. y 2 –2y + 9 = 0 No Real Solutions No y-intercepts

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