214 Chapter 3 Linear Equations in Two Variables Objective 3 Examples Find the x- and y-intercepts for each equation. Use these points to graph each line. 3a. 2x + 3y = 6 3b. y = 2x - 4 3c. 2x - y = 0 Solutions 3a. x y (x, y) x-intercept 2x + 3(0) = 6 2x = 6 x = 3 0 (3, 0) y-intercept 0 2(0) + 3y = 6 3y = 6 y = 2 (0, 2) Checkpoint 1 2(1) + 3y = 6 2 + 3y = 6 3y = 4 y = 4 3 a1, 4 3 b Plotting the points (3, 0), (0, 2), and a1, 4 3 b gives us the graph of 2x + 3y = 6. –4 –2 x 3, 0 6 4 0, 2 –2 y 4 3 1, Notice that the checkpoint also lies on the graph of the line, so we know our work is correct. 3b. x y (x, y) x-intercept 0 = 2x - 4 0 + 4 = 2x - 4 + 4 4 = 2x 4 = 2 2x 2 2 = x 0 (2, 0) y-intercept 0 y = 2(0) - 4 y = 0 - 4 y = -4 (0, -4) Checkpoint 3 y = 2(3) - 4 y = 6 - 4 y = 2 (3, 2) Plotting the points (2, 0), (0, -4), and (3, 2), gives us the graph of y = 2x - 4. 2 3, 2 0,–4 2, 0 4 4 6 –2 –2 –4 x y Notice that the checkpoint lies on the graph of the line, so we know our work is correct.
hendricks_beginning_intermediate_algebra_1e_ch1_3
To see the actual publication please follow the link above