QUESTION WITH ALTERNATIVES HELP PLEASE

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) No, because the slopes of lines g and h have different signs.

C)Yes, because the slopes of lines g and h are opposite and reciprocal.

D)No, because the y-intercepts of lines g and h are different.

Answer 1

Judite,

Here is how you can tell if lines are perpendicular when the equation is presented in the slope-intercept form ( y=mx +b)

the slopes of the two lines ( represented by m) must be opposite in sign ( one positive and one negative)

the slopes must also be reciprocals of each other i.e 2 and - 1/2 or -2 and 1/2

Knowing this, can you recognize the correct answer?

If you need further help, please let me know