Are the two lines parallel? 2x - y = 1 and 2y - 4x = 7 Parallel lines have equal slopes. Slope-intercept form is y = mx + b m is the slope b is the y-intercept 2x - y = 1 -y = -2x + 1 {subtracted 2x from each side} y = 2x - 1 {divided each side by -1} slope is 2 2y - 4x = 7 2y = 4x + 7 {added 4x to each side} y = 2x + (7/2) {divided each side by 2} slope is 2 Slopes are equal. The lines are parallel. As shown by using the graphing calculator: - Algebra House
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