Question

Equation A: 3x + y = 6 Equation B: 6x - 2y = 4 Equation C: y = 3x - 2 Equation D: y = 1 3 x + 7 Which two lines are perpendicular?

Answer 1

Answer: C) A and D

Explanation:

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Answer 2

Given:
A: 3x + y = 6
B: 6x - 2y = 4
C: y = 3x - 2
D: y = 1/3 x + 7

To figure out which two lines are perpendicular, we must look at the slopes of each one after putting them into standard form, y = mx + b.

Standard Form:
A: y = -3x + 6
B: y = 3x - 2
C: y = 3x - 2
D: y = (1/3)x + 7

Lines are perpendicular when their slopes are opposite inverses of eachother.

The opposite of -3 is 3 and the inverse of 3 is 1/3.

Therefore, lines A and D are perpendicular to one another :)