SOLUTION: a) what is the slpe of any line that is parallel to the line through (-3,-4) and (5,-1) b) what is the slope of a line that is perpendicular to the line through (5,4) and (5,-2)

Algebra ->  Linear-equations -> SOLUTION: a) what is the slpe of any line that is parallel to the line through (-3,-4) and (5,-1) b) what is the slope of a line that is perpendicular to the line through (5,4) and (5,-2)      Log On


   

Question 148248: a) what is the slpe of any line that is parallel to the line through (-3,-4) and (5,-1)
b) what is the slope of a line that is perpendicular to the line through (5,4) and (5,-2)
Answer by mangopeeler07(462) About Me  (Show Source):
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a) what is the slope of any line that is parallel to the line through (-3,-4) and (5,-1)
put the difference of the y's over the difference of the x's.

%28-4--1%29%2F%28-3-5%29

Simplify
-3%2F-8 or 3%2F8. That is the slope. Any line that is parallel will have that slope.


b) what is the slope of a line that is perpendicular to the line through (5,4) and (5,-2)

put the difference of the y's over the difference of the x's.

%284--2%29%2F%285-5%29

Simplify
6%2F0 That is the slope of the line. Undefined.

Find the reciprocal
0%2F6

Multiply it by -1

-0%2F6 or 0. That is the slope of any line that is perpendicular.