Solutions 1a. m = y2 - y1 x2 - x1 State the slope formula. m = 5 - (-2) 4 - (-1) Let (x1, y1) = (-1, -2) and (x2, y2) = (4, 5). m = 7 5 Simplify. Notice from the graph that if we move 7 units up from (-1, -2) and 5 units to the right, we will be at the point (4, 5). 1b. m = y2 - y1 x2 - x1 State the slope formula. m = 2 - (-3) -4 - (5) Let (x1, y1) = (5, -3) and (x2, y2) = (-4, 2). m = 5 -9 Simplify. m=- 5 9 Notice from the graph that if we move 5 units down from (-4, 2) and 9 units to the right, we will be at the point (5, -3). 1c. m = y2 - y1 x2 - x1 State the slope formula. m = 5 - (-3) 2 - (2) Let (x1, y1) = (2, -3) and (x2, y2) = (2, 5). m = 8 0 undefined Simplify. Notice from the graph that if we move up 8 units from the point (2, -3), we will be at the point (2, 5) since there is no movement left or right. 1d. m = y2 - y1 x2 - x1 State the slope formula. m = -2 - (-2) 4 - (0) 4 Let (x1, y1) = (0, -2) and (x2, y2) = (4, -2). m = 0 4 Simplify. m = 0 Simplify. (4, 5) (–1, –2) y Right 5 units Up 7 units 6 2 2 4 –4 –2 4 6 x –2 x Right 9 units Down 5 units 2 2 4 4 –2 y (–4, 2) (5, –3) (2, 5) No movement right or left Up 8 units 2 4 6 8 –2 –2 –4 x y (2, –3) 228 Chapter 3 Linear Equations in Two Variables
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