y 87. 4 2 2 4 6 –2 –2 –4 x 88. 4 8 8 –4 –8 –4 –8 x y 89. 90. Graph each described line. Label two points on the line. 91. y = 4x - 3 92. y = -2x + 5 93. m = 1, passes through (0, 3) 94. m = -5, passes through (2, -1) 95. m = 3, b = 6 96. m = 1 2 , b = 0 97. m = undefined, passes through (3, 4) 98. m = 0, passes through (3, 4) 99. m=- 1 4 , passes through (0, 0) 100. m = 3 2 , passes through (0, 0) You Be the Teacher! Each student is trying to solve the same problem: If a line that passes through the point (-1, 1) has a slope of - 3 4 , specify one other point on the line. Correct each student's errors, if any. 101. Lisbelle: I can rewrite the slope as 3 -4 . I also know slope = rise/run. This means that if I rise, or go up, 3 units, then I have to go left 4 units to get another point on the line. So, starting at the point (-1, 1), I end up at the point (-1, 4) if I rise 3 units. When I go left 4 units, I end up at the point (-5, 4). So, another point on the line is (-5, 4). 102. Florida: I can write the slope as 3 -4 . I know slope = rise/run. This means that if I rise, or go right 3 units, then I have to go down 4 units to get another point on the line. So, starting at the point (-1, 1), I end up at the point (2, 1) when I go right 3 units. When I go down 4 units, I end up at (2, -3). So, another point on the line is (2, -3). 103. Lewis: I can rewrite the slope as - 3 4 . So if I start at the point (-1, 1), I must go down 3 units and right 4 units to get another point on the line. This means that (3, -2) is another point on the line. 104. James: I can rewrite the slope as - 3 4 . So, if I start at the point (-1, 1), I must go left 3 units and up 4 units to get another point on the line. This means that (-4, 5) is another point on the line. Calculate It! Determine the slope of the line depicted in each graphing calculator screen shot. 105. 106. Think About It! Draw a graph of a line with the following characteristics, where m is the slope of the line and b is the y-value of the y-intercept of the line. 107. m > 0 and b < 0 108. m > 0 and b = 0 109. m > 0 and b > 0 110. m < 0 and b < 0 111. m < 0 and b = 0 112. m < 0 and b > 0 113. Slope is undefined. 114. m = 0 and b > 0 238 Chapter 3 Linear Equations in Two Variables
hendricks_beginning_algebra_1e_ch1_3
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