10

Set 3: Linear Functions (Advanced)

Explanation

Answer: D

PROBLEM

Two lines intersect at (3, 5). One is y = 2x - 1. Find y-intercept of perpendicular line through this point.

Two lines intersect at (3, 5). One is y = 2x - 1. Find y-intercept of perpendicular line through this point.

A.

5

B.

8

C.

3.5

D.

6.5

✓ Correct

Detailed Explanation

Choice D is the best answer. Perp slope = -0.5. y - 5 = -0.5(x - 3). y = -0.5x + 6.5

Why others are wrong:
A: 5 is incorrect because it does not satisfy the equation.
B: 8 is incorrect because it does not satisfy the equation.
C: 3.5 is incorrect because it does not satisfy the equation.

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