The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The slope of the line that passes through (-4, -11) and (3, 3) is:
[tex]m_1=\frac{3-(-11)}{3-(-4)}=\frac{14}{7}=2[/tex]
The slope of the line that passes through (5, -2) and (6, -9) is
[tex]m_2=\frac{-9-(-2)}{6-5}=-7[/tex]
Yes, lines m and n intersect because their slopes are different
