SOLUTION: Find an equation of the line containing the given pair of points.(-7,-6) and (-1,-5)The equation of the line in slope-intercept form is y=

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line containing the given pair of points.(-7,-6) and (-1,-5)The equation of the line in slope-intercept form is y=      Log On


   

Question 552747: Find an equation of the line containing the given pair of points.(-7,-6) and (-1,-5)The equation of the line in slope-intercept form is y=
Answer by jim_thompson5910(35256) 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=-6.
Also, is the second point . So this means that x%5B2%5D=-1 and y%5B2%5D=-5.


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


m=%28-5--6%29%2F%28-1--7%29 Plug in y%5B2%5D=-5, y%5B1%5D=-6, x%5B2%5D=-1, and x%5B1%5D=-7


m=%281%29%2F%28-1--7%29 Subtract -6 from -5 to get 1


m=%281%29%2F%286%29 Subtract -7 from -1 to get 6


So the slope of the line that goes through the points and is m=1%2F6


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--6=%281%2F6%29%28x--7%29 Plug in m=1%2F6, x%5B1%5D=-7, and y%5B1%5D=-6


y--6=%281%2F6%29%28x%2B7%29 Rewrite x--7 as x%2B7


y%2B6=%281%2F6%29%28x%2B7%29 Rewrite y--6 as y%2B6


y%2B6=%281%2F6%29x%2B%281%2F6%29%287%29 Distribute


y%2B6=%281%2F6%29x%2B7%2F6 Multiply


y=%281%2F6%29x%2B7%2F6-6 Subtract 6 from both sides.


y=%281%2F6%29x-29%2F6 Combine like terms. note: If you need help with fractions, check out this solver.



So the equation that goes through the points and is y=%281%2F6%29x-29%2F6


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Jim