Question

Determine if lines that pass through the given points are parallel, perpendicular or neither.

Answer 1

Find the slope of each line

Line a:

$\frac{5-4}{7-5}$
$\frac{1}{2}$

Line b:

$\frac{-3-(-5)}{8-4}$
$\frac{2}{4}$
$\frac{1}{2}$

So the lines given are parallel since both of their slopes are the same.

Hope this helps :)