Are the following lines parallel, perpendicular, or neither: y=2x-7 and x+2y=10

Question

I need help with this problem!!

Answer 1

Write the second equation in the standard form 

 

2y = 10 - x

 

y = - x/2 + 5

 

The first equation written in standard form

 

y = 2x - 7

 

 

The first line has a slope of -1/2 and the second one has a slope of 2.

 

 

Product of slopes = 2 * -1/2

 

= -1

 

 

The two lines are perpendicular to each other.