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 = 319
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.