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Please help

questions 12,14,16

Please help questions 12,14,16-example-1

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Answer:

12) y=3x-15

14) y=-1/2x

16) y=13x-105

Explanation:

Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):

12) y=3x+b

14) y=-1/2x+b

16) y=13x+b

now, we can plug in each of the coordinates given to these equations.

12) (4,-3): 4 is x, -3 is y.

-3=3(4)+b

simplify: b= -15

14) (-4,2): -4 is x, 2 is y

2=-1/2(-4)+b

simplify: b=0

16) (9,12): 9 is x, 12 is y

12=13(9)+b

simplify: b=-105

Now, plug in those numbers to your equation for b value.

12) y=3x-15

14) y=-1/2x

16) y=13x-105

*for 14 we don't need to write anything after -1/2x because b=0*

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