Simplify to create an equivalent expression.
1 answer:
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Answer:
B. Yes. Their slopes have product -1.
Step-by-step explanation:
Given:
Line passing through P(-3, -2) and Q(2, 3)
Line passing through R(10, -1) and S(15, -6)
Required:
To determine if both lines are perpendicular.
SOLUTION:
Two lines are considered perpendicular if the product of their slopes equal -1.
To determine if both lines given in the question are perpendicular, first, calculate their slope using:
Slope of line passing through P(-3, -2) and Q(2, 3):
Let,
Slope of line passing through R(10, -1) and S(15, -6):
Let,
The product of their slopes = 1 × -1 = -1
<u><em>Therefore, the lines are perpendicular.</em></u>
The answer is: <em><u>B. "Yes. Their slopes have product -1."</u></em>