Given:
Line 1: (-1, 2) and (2, 3)
Line 2: (0, 0) and (3, 1)
We will find the slope of each line
[tex]slope=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
the slope of line1 = m1
[tex]m_1=\frac{3-2}{2-(-1)}=\frac{1}{3}[/tex]
the slope of the line2 = m2
[tex]m_2=\frac{1-0}{3-0}=\frac{1}{3}[/tex]
So, the slope of line1 = the slope of line2
So, the lines are parallel
