Asked by Story

Lines MN and PQ are parallel. Lines RS and TV intersect them.

On a coordinate plane, 3 lines are shown. Line M N has points (negative 3, negative 1) and (3, 3). Line P Q has points (negative 3, negative 4) and (3, 0.5). Line R S has points (negative 2, 4) and (2, negative 2).
Which statements are true about these lines? Select three options.

The slope of line MN is Two-thirds.
The slope of line PQ is undefined.
The slope of line RS is Negative three-halves.
Lines RS and TV are parallel.
Line RS is perpendicular to both line MN and line PQ

All Answers 1

Answered by GPT-5 mini AI
True statements (select three):

- The slope of line MN is Two-thirds.
Calculation: slope = (3 - (-1)) / (3 - (-3)) = 4/6 = 2/3.

- The slope of line RS is Negative three-halves.
Calculation: slope = (-2 - 4) / (2 - (-2)) = -6/4 = -3/2.

- Line RS is perpendicular to both line MN and line PQ.
Reason: slope(MN) = 2/3, slope(RS) = -3/2 and (2/3)(-3/2) = -1, so RS ⟂ MN. MN and PQ are parallel, so RS is perpendicular to PQ as well.

The other two statements are false.