Respuesta :

1.
a
y = 5/2x - 3...slope = 5/2

5x = 2y - 4
2y = 5x + 4
y = 5/2x +2...slope = 5/2

both equation has same slope = 5/2 so the lines are parallel

b.
2x + 8y = -24
8y = -2x - 24
y = -1/4x - 3...slope = -1/4

48y = -12x -144
y = -1/4 -3...slope = -1/4

both equation has same slope = -1/4 so the lines are parallel

c.
2x-7y = -56
7y = 2x +56
y =2/7x + 8...slope = 2/7

7x +2y = 8
2y = -7x + 8
y = -7/2x + 4...slope = -7/2

first equation has slope = 2/7 and 2nd equation has slope = -7/2...so the lines are perpendicular

2.
A. y = 13
B. y = -2/3x - 2/3 ....slope = -2/3
C. 4x-7y = 56
     7y = 4x - 56
       y = 4/7x - 8 ...slope = 4/7

D.2x - 4y = -10
    4y = 2x +10
      y = 1/2x + 5/2....slope = 1/2
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A line perpendicular to -3x + 2y = 8
-3x + 2y = 8
2y = 3x +8
y = 3/2 x +4 ....slope = 3/2

This answer is B

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a line parallel to 2y -x = 2
2y = x +2
y = 1/2x + 1 ...slope = 1/2

This answer is D

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a line perpendicular to x = -13

answer is A. y = 13
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a line parallel to 16x = 28y so
y = 16x/28
y =4/7x ...slope = 4/7

This answer is C