Question

Use the following lines to answer the question.

line g: y=−4/5x+7/5
line h: y=5/4x+3/4
Is line g perpendicular to line h? Why or why not?

A. Yes, because the slopes of lines g and h are opposite and the y-intercepts are different.
B. Yes, because the slopes of lines g and h are opposite and reciprocal.
C. No, because the y-intercepts of lines g and h are different.
D. No, because the slopes of lines g and h have different signs.

I believe the answer is C

Answer 1

Perpendicular has to do with the slopes.
The slopes are connected to the x variables.
Check the slopes...
Do they multiply to -1??
If yes, then the lines are perpendicular : )
So... C is NOT the correct answer...

Answer 2

I line G as -20 and line H as 20

Answer 3

So does that mean the answer is B because they are opposite?

Answer 4

Yes, -20/20
that is -20 divided by 20, which is -1
Thus the lines have negative reciprocals... then thus perpendicular : )

Answer 5

(-4/5)x(5/4) = (-20)/20
= -1 : )