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