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Today’s Objective To be able to find the x and y intercepts of an equation and use them to draw a quick graph.
The intercepts are where the line crosses the axis.Y-Intercept =(0,6) Y X-Intercept =(2,0) X
Finding the intercepts3x + y = 6 To find the x-intercept, let y = 0 3x + (0) = 6 3x = 6 x = 2 (2,0)
Finding the intercepts3x + y = 6 To find the y-intercept, let x = 0 3(0) + y = 6 y = (0,6)
The graph of 3x + y = 6 Y y-intercept =(0, 6) x-intercept =( 2,0) X
Compare the 2 graphs
Finding the interceptsx + 5y = 10 To find the x-intercept, let y = 0 x + 5(0) = 10 x = (10,0)
Finding the interceptsx + 5y = 10 To find the y-intercept, let x = 0 0 + 5y = 10 5y = 10 y = 2 (0,2)
The graph of x + 5y = 10 Y y-intercept = (0,2) x-intercept = (10,0) X
Find the intercepts and graph3x + 4y = 12
Finding the x-intercept3x + 4y = 12 3x + 4(0) = 12 3x + 0 = 12 3x = 12 x = 4 (4,0)
Finding the y-intercept3x + 4y = 12 3(0) + 4y = 12 0 + 4y = 12 4y = 12 y = (0,3)
The graph of 3x + 4y = 12 Y y-intercept =(0, 3) x-intercept = (4,0) X
Find the intercepts and graphy = 4x - 4 You try this one.
Finding the x-intercepty = 4x - 4 0 = 4x - 4 0 + 4 = 4x 4 = 4x 1 = x (1,0)
Finding the y-intercepty = 4x - 4 y = 4(0) - 4 y = -4 (0,4)
The graph of y = 4x - 4 Y x-intercept = (1,0) X y-intercept = (0,-4)
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