The slope, m, of a line that passes through the points (x1, y1) and (x2, y2) is calculated as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Line q passes through the points (0, 3) and (5, 0), then its slope is:
[tex]m_q=\frac{0-3}{5-0}=-\frac{3}{5}[/tex]
Line v passes through the points (0, -3) and (5, -6), then its slope is:
[tex]m_v=\frac{-6-(-3)}{5-0}=-\frac{3}{5}[/tex]
Since both lines have the slope of -3/5, lines q and v are parallel
