8-3 Horizontal and Vertical Lines 8-3 Horizontal and Vertical Lines

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Mrs. Aitken’s Integrated 1 MathUnit 8 Linear Equations as Modelsrise change in y −2 −( −2) 0slope = = = = = 0run change in x 2 −5 −3The slope is zero. The y-coordinate of all the points on this line is –2.The equation of the line is y = -2.Example 2Graph the equation 4x – 24 = 0 on the coordinate plane.Solution 2Most linear equations have two variables in them. When a linear equation has only onevariable, you know that the line is either horizontal or vertical, depending on the variableinvolved.Solve for x4x− 24=0+ 24 + 244x= 244x24=4 4x = 6To graph this line, plot several points (x, y) where the value of x is 6.(6, 0), (6, 1), (6, 2), (6, 6)8-3 Horizontal and Vertical Lines
Mrs. Aitken’s Integrated 1 MathUnit 8 Linear Equations as ModelsThe line is vertical.rise change in y 3−1 2slope = = = = = undefinedrun change in x 6 − 6 0Since division by zero is undefined, the slope is undefinedExample 3Find the slope of the line and write an equation for the line.(-6, -7.6) (9, -7.6)Solution 3The slope is 0. The equation is y = -7.6Example 4Find the slope of the line and write an equation for the line.(1.2, 4)(1.2, -2)Solution 4The slope is undefined.The equation is x = 1.28-3 Horizontal and Vertical Lines
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8-3 Horizontal and Vertical Lines 8-3 Horizontal and Vertical Lines

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