Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation
The slope of a perpendicular line would be (-x) if the slope of the original line was (x).
The formula for finding slope is:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Inserting your problem would make the equation look like:
[tex]\frac{5-8}{-2+4}[/tex]
Simplify:
[tex]\frac{-3}{2}[/tex]
That is the slope of the given line, to find the slope of the line perpendicular to that one, we would put into (-x)
Answer:
[tex]\frac{3}{2}[/tex]
