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

Question

10-06-2024
Mathematics

Answered

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

Answer :

Other Questions

One side of a triangle is 1 in. longer than the shortest side and is 1 in. shorter than the longest side. The perimeter is 17 in. Find the dimensions of the t

Classify the following words into formal and informal english. 1.Commerce 2.What's up 3.May be 4.Thanks 5.Patrons 6.Banquet 7.Grant 8.Do you fancy 9.Engage 10.S

removing the dimensional prefix and express in scientific notation ( include unit)7.4nm6.78 x 10^8 MHz5.36 x 10^6 kV1500mACalculate the following numbers into s

One side of a triangle is 1 in. longer than the shortest side and is 1 in. shorter than the longest side. The perimeter is 17 in. Find the dimensions of the t

A student investigated how the pressure in a diving pool varied with depth. He filled a balloon with helium and tied it to the end of a long pole. Then he subm

An athlete with a high count of red blood cells will perform well in tests of physical endurance because (a) waste products will be removed from the body easily

which of the binomial below is a factor of this trinomial? 2x^3-18x^2+40xa) 2x+5b)x+5c)x-5d)2x-5

An athlete with a high count of red blood cells will perform well in tests of physical endurance because (a) waste products will be removed from the body easily

neevkeswani7 neevkeswani7 · Answer 1 · 2024-06-10T15:52:29-04:00

Answer:

1. The slope of line MN is Two-thirds.

2. Lines RS and TV are parallel.

3. Line RS is perpendicular to both line MN and line PQ.

Step-by-step explanation:

The true statements about these lines are:

1. To find the slope of line MN, we use the formula: slope = (change in y) / (change in x). So, slope of MN = (3 - (-1)) / (3 - (-3)) = 4 / 6 = 2/3.

2. Lines RS and TV are parallel because they have the same slope. The slope of RS is: slope = (-2 - 4) / (2 - (-2)) = -6 / 4 = -3/2.

3. For a line to be perpendicular to another, their slopes are negative reciprocals of each other. The slope of RS is -3/2, and the slope of both MN and PQ is 2/3, the negative reciprocal of -3/2. Therefore, RS is perpendicular to both MN and PQ.