## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

RECALL: (1) In the slope-intercept form of a line's equation, $y=mx+b$, $m$=slope and $b$ is the y-coordinate of the y-intercept. (2) Parallel lines have equal or the same slope. Write both equations in slope-intercept form to obtain: First Equation: $y=2x-1$ Second Equation: $2y-4x=7 \\2y-4x+4x=7+4x \\2y=4x+7 \\\frac{2y}{2}=\frac{4x+7}{2} \\y=2x+\frac{7}{2}$ Note that both equations have the same slope $m=2$ . Since they have the same slope, then their graphs are parallel lines.