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.

The following statements are true:

The formula for finding the slope of a line is expressed as:

Get the slope of MN:

For the line MN with coordinates M(-3, -1) and (3, 3).

Get the slope of PQ;

For the line PQ with coordinates M(-3, -4) and (3, 0.5)

Get the slope of RS

For the line RS with coordinates M(-2, 4) and (2, -2)

For two lines to perpendicular, hence;

M = -1/m

From the derives slopes, we can see that;

This shows that the lines MN and RS are perpendicular.

Based on the above calculations, the following statements are true:

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The slope of line MN is two thirds,

The slope of line RS is negative three-halves

and line RS is perpendicular to both line MN and PQ

Step-by-step explanation:

For the first two, I found the slope using the slope formula, and I know the third one is correct because that is what it says in the very beginning.

Hope this helped, sorry if it is a little hard to understand, it was pretty hard to understand. :)