SOLUTION: What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?      Log On

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Question 585970: What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?
Answer by jim_thompson5910(28595) About Me  (Show Source):
You can put this solution on YOUR website!
First let's find the slope of the line through the points and


Note: is the first point . So this means that x%5B1%5D=-7 and y%5B1%5D=-10.
Also, is the second point . So this means that x%5B2%5D=-6 and y%5B2%5D=-8.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%28-8--10%29%2F%28-6--7%29 Plug in y%5B2%5D=-8, y%5B1%5D=-10, x%5B2%5D=-6, and x%5B1%5D=-7


m=%282%29%2F%28-6--7%29 Subtract -10 from -8 to get 2


m=%282%29%2F%281%29 Subtract -7 from -6 to get 1


m=2 Reduce


So the slope of the line that goes through the points and is m=2


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y--10=2%28x--7%29 Plug in m=2, x%5B1%5D=-7, and y%5B1%5D=-10


y--10=2%28x%2B7%29 Rewrite x--7 as x%2B7


y%2B10=2%28x%2B7%29 Rewrite y--10 as y%2B10


So the solution is y%2B10=2%28x%2B7%29
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