Question

*please answer fast*

Which statement BEST explains the relationship between lines FG and HJ

a) They are perpendicular because their slopes are equal
b) They are perpendicular because their slopes are negative reciprocals
c) They are not perpendicular because their slopes are equal
d) They are not perpendicular because their slopes are not negative reciprocals

i think it’s d but everyone else says it’s b so please explain answer

Answer 1

D) on egde

Explanation:

Answer 2

Find the slopes of both lines.

The slope of a line can be found through the following formula:


`(y_2 - y_1)/(x_2 - x_1)`

Find two points on both lines.

For line HJ, the line goes through (-2, 1) and (0,4). Plug these values into the formula:


`(4 - 1)/(0-(-2)) = (3)/(2)`

The slope of line HJ is 3/2.

For line FG, the line goes through (-4, 1) and (0,-2). Plug these values into the formula:


`(-2 - 1)/(0 - (-4)) = (-3)/(4)`

The slope of line FG is -3/4.

Compare the slopes to each other:

3/2, -3/4

They are not negative reciprocals, as the negative reciprocal of 3/2 would be -2/3, and the negative reciprocal of -3/4 would be 4/3.

The answer is d) They are not perpendicular because their slopes are not negative reciprocals.