Question

Lines a and b are parallel. Line c is perpendicular to both line a and line b. Which statement about lines a, b, and c is NOT true?

Line a and line b have the same slope.

The sum of the slopes of line b and line c is 0.

The product of the slopes of line c and line b is −1.

The product of the slopes of line a and line c is −1.

Answer 1

m + (-1/m) ≠ 0

⇒ The sum of the slopes of line b and line c is 0.

⇒ False ⇒ NOT true

Answer 2

The sum of the slopes of line b and line c is 0.

Explanation:

Remember that the product of the slopes of two parallel lines is -1, so in order to be -1 you have to multiply M*-1/m=-1 so since to add them up you would do it like this m+(-1/m) taht wouldn´t get as result 0, so that would be the option that is not correct, remember that parallel lines have the same slope, so that also eliminates all of the other options.