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| Math Central | Quandaries & Queries |
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Question from Danielle, a student: Hello. I need some help with this: i am supposed to find the equation of a line with a point (2/3,5) and (-5/6,-4) the answer in the book says y=6x+1. My question is how did they get 6 for the slope? Thank you! |
Hi Danielle,
The slope is the difference between the y-coordinates divided by the difference between the x-coordinates in the same order.
Suppose the points are (2/5, -2) and (-3/10, 5). The slope is then
[5 - (-2)]/[-3/10 - 2/5] = 7/[-3/10 - 4/10] = 7/(-7/10) = -10
Now try your points,
Penny
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