👤
Answered

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negative 2) and (0, negative 4).
Which statement best explains the relationship between lines PQ and RS?

They are parallel because their slopes are equal.
They are parallel because their slopes are negative reciprocals.
They are not parallel because their slopes are not equal.
They are not parallel because their slopes are negative reciprocals.

Answer :

Considering the slope of the lines, their relationship is given as follows:

They are not parallel because their slopes are not equal.

When are lines parallel, perpendicular or neither?

The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:

  • If they are equal, the lines are parallel.
  • If their multiplication is of -1, they are perpendicular.
  • Otherwise, they are neither.

In this problem, their slopes are given as follows:

  • mPQ = (1 - 3)/(5 - (-5)) = 3/10.
  • mRS = (-4 - (-2))/(0 - (-4)) = -1/2.

Different slopes, multiplication different of -1, hence the correct option is given by:

They are not parallel because their slopes are not equal.

More can be learned about the slope of a line at brainly.com/question/12207360

#SPJ1

Answer:

C. They are not parallel because their slopes are not equal.

Go Teaching: Other Questions