Prealgebra- Determine whether the lines passing through the pairs of points are parallel, perpendicular, or neither

It is important to note the following:
• If the slopes of the two lines are equal, they are parallel.
,• If the slopes of the two lines are negative reciprocal of each other, they are perpendicular.
Let's now calculate the slope of each line. Use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Let's start with line 1.
[tex]m=\frac{1-13}{-8-1}\Rightarrow m=\frac{-12}{-9}\Rightarrow m=\frac{4}{3}[/tex]The slope of line 1 is 4/3.
Let's move on to line 2.
[tex]m=\frac{\frac{5}{3}-(-1)}{5-3}\Rightarrow m=\frac{\frac{8}{3}}{2}\Rightarrow m=\frac{4}{3}[/tex]The slope of line 2 is also 4/3.
Since the slopes of the two lines are the same, then the two lines are parallel.