SOLUTION: What is the equation of the line containg the given pair of points (-7,0) and )0,5)

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Question 481683: What is the equation of the line containg the given pair of points (-7,0) and )0,5)
Found 2 solutions by jim_thompson5910, rfer:
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=0.
Also, is the second point . So this means that x%5B2%5D=0 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=%285-0%29%2F%280--7%29 Plug in y%5B2%5D=5, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-7


m=%285%29%2F%280--7%29 Subtract 0 from 5 to get 5


m=%285%29%2F%287%29 Subtract -7 from 0 to get 7


So the slope of the line that goes through the points and is m=5%2F7


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-0=%285%2F7%29%28x--7%29 Plug in m=5%2F7, x%5B1%5D=-7, and y%5B1%5D=0


y-0=%285%2F7%29%28x%2B7%29 Rewrite x--7 as x%2B7


y-0=%285%2F7%29x%2B%285%2F7%29%287%29 Distribute


y-0=%285%2F7%29x%2B5 Multiply


y=%285%2F7%29x%2B5 Simplify


So the equation that goes through the points and is y=%285%2F7%29x%2B5


Notice how the graph of y=%285%2F7%29x%2B5 goes through the points and . So this visually verifies our answer.
Graph of y=%285%2F7%29x%2B5 through the points and

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
m=(5-0)/0--7)
m=5/7
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y=5/7x+b
5=5/7*0+b
5=b
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y=5/7x+5