Posted by **Jane** on Wednesday, April 11, 2012 at 10:27pm.

Which of the following equations represents the equation for the line that is parallel to the given line and passes through the given point?

y= 1/5 x - 10; (15, -16)

A. y = -5x +19

B. y = 1/5x + 91/5

C. y = 1/5 x - 19

D. y = 5x - 19

I do know that to be parallel the slopes need to be the same. Please explain how you solve this.

- math -
**Reiny**, Wednesday, April 11, 2012 at 10:40pm
Since the slope must be the same, it limits it to

choices B or C, since both have 1/5 as the slope

so plug in the given point to see which one satisfies the equation

- math -
**Jane**, Wednesday, April 11, 2012 at 10:53pm
Reiny, I'm not sure how to do that.

- math -
**Reiny**, Wednesday, April 11, 2012 at 11:05pm
try it in B

y = 1/5 x + 91/5

plug in (15,-16)

-16 = (1/5)(15) + 91/5

-16 = 3 + 91/5 , which is not true,

so it better be C

y = 1/5 x - 19

-16 = (1/5)(15) - 19

-16 = 3-19

-16 = -16 , ahhh that's true, so it must be C

- math -
**Jane**, Wednesday, April 11, 2012 at 11:12pm
Thank you so much for explaining it in detail. I really appreciate it.

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