Asked by Jane

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.

Answers

Answered by Reiny
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
Answered by Jane
Reiny, I'm not sure how to do that.
Answered by Reiny
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
Answered by Jane
Thank you so much for explaining it in detail. I really appreciate it.
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