Graph x 4. Graph y 2. Solution The equation y 2 is the same as 0x y 2, therefore it is linear. y 2 means that no matter the value of x, y always equals 2. Make a table of values where we choose any value for x, but y is always 2. x y 0 2 2 2 2 2 x y 5 5 5 2 2 2 2 2 5 Plot the points, and draw a line y 2 through them. The graph of y 2 is a horizontal line. We can generalize the result as follows: Property The Graph of y b If b is a constant, then the graph of y b is a horizontal line going through the point (0, b). Graph y 1. 6 Use the Midpoint Formula The midpoint of a line segment is the point that is exactly halfway between the endpoints of a line segment. We use the midpoint formula to fi nd the midpoint. Definition The Midpoint Formula If (x1, y1) and (x2, y2) are the endpoints of a line segment, then the midpoint of the segment has coordinates ax1 x2 2 , y1 y2 2 b YOU TRY 5 EXAMPLE 6 Notice that if y is constant, then the graphed line is horizontal (parallel to the x-axis). YOU TRY 6 Notice that the midpoint formula calculates the arithmetic average of the given x- and y-values! x2 y2 x y x1 y1 x1 x2 a b 2 y1 y2 2 146 CHAPTER 4 Linear Equations in Two Variables and Functions www.mhhe.com/messersmith
messersmith_power_intermediate_algebra_1e_ch4_7_10
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