Answer:
The slope of the line parallel = [tex]\frac{3}{4}[/tex]
The slope of the line perpendicular = - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
We know
The coordinate of (x2,y2) is at (3,2).
The coordinate of (x1,y1) is at (7,5).
m = [tex]\frac{2-5}{3-7}[/tex] = [tex]\frac{-3}{-4}[/tex] = [tex]\frac{3}{4}[/tex]
So, the slope of this line is [tex]\frac{3}{4}[/tex].
What is the slope of a line parallel to the line in the question above?
A line parallel to this line will have the same slope.
m = [tex]\frac{3}{4}[/tex]
What is the slope of a line perpendicular to the line question above?
To find the slope of a line perpendicular to a given line, you need to take the negative reciprocal of the slope of the given line.
m = - [tex]\frac{4}{3}[/tex]
