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Sagot :
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.
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