Question

Determine if the lines -2x + 3y = -1 and 6x + 4y = 4 are parallel, perpendicular or neither. Explain.

Answer 1

Answer:

Perpendicular

Step-by-step explanation:

-2x+3y=-1

6x+4y=4

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3y=-1-(-2x)

3y=-1+2x

3y=2x-1

y=2/3x-1/3

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4y=4-6x

4y=-6x+4

y=-6/4x+4/4

y=-3/2x+1

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2/3 and -3/2 are negative reciprocals, therefore, they are perpendicular.