Question 12 pts Line a passes through the points (-2, 3) and (4, 6), line b passes through the points (0, 2) and (2, 3). Are these lines parallel?

Group of answer choices

No, they are not parallel

Yes, they are parallel because their slopes are negative reciprocals

Yes, they are parallel because they have the same slope

Not enough information to answer

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Question 22 pts
Write an equation for the line that passes through the point (4, -1) and is parallel to the line y = 2x - 5.

Group of answer choices

LaTeX: y-1=2\left(x-4\right)y − 1 = 2 ( x − 4 )

LaTeX: y+1=2\left(x-4\right)y + 1 = 2 ( x − 4 )

LaTeX: y+1=5\left(x-4\right)y + 1 = 5 ( x − 4 )y + 1 = 5 ( x − 4 )

LaTeX: y-1=5\left(x-4\right)y − 1 = 5 ( x − 4 )y − 1 = 5 ( x − 4 )

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Question 32 pts
Write an equation for the line that passes through the point (-2, -4) and is perpendicular to the line y = 3x - 2.

Group of answer choices

LaTeX: y+4=-\frac{1}{3}\left(x+2\right)y + 4 = − 1 3 ( x + 2 )

LaTeX: y+4=\frac{1}{3}\left(x+2\right)y + 4 = 1 3 ( x + 2 )

LaTeX: y-4=-\frac{1}{3}\left(x-2\right)y − 4 = − 1 3 ( x − 2 )

LaTeX: y-4=\frac{1}{3}\left(x-2\right)y − 4 = 1 3 ( x − 2 )

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Question 42 pts
Write an equation for the line that passes through the point (-1, 5) and is perpendicular to the line LaTeX: y=-\frac{1}{2}x-6y = − 1 2 x − 6

Group of answer choices

LaTeX: y-5=2\left(x-1\right)y − 5 = 2 ( x − 1 )

LaTeX: y-5=-2\left(x-1\right)y − 5 = − 2 ( x − 1 )y − 5 = − 2 ( x − 1 )

LaTeX: y-5=-2\left(x+1\right)y − 5 = − 2 ( x + 1 )y − 5 = − 2 ( x + 1 )

LaTeX: y-5=2\left(x+1\right)y − 5 = 2 ( x + 1 )

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Question 52 pts
Write an equation in standard form for the line that passes through the point (3, -4) and is parallel to the line LaTeX: y=\frac{1}{2}x+8y = 1 2 x + 8

Group of answer choices

LaTeX: x-2y=7x − 2 y = 7

LaTeX: x-2y=-16x − 2 y = − 16x − 2 y = − 16

LaTeX: x-2y=11x − 2 y = 11

LaTeX: x-2y=14