SOLUTION: Find the equation for (4,2) (1,3)

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Question 339900: Find the equation for (4,2) (1,3)
Found 2 solutions by jim_thompson5910, solver91311:
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


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


m=%283-2%29%2F%281-4%29 Plug in y%5B2%5D=3, y%5B1%5D=2, x%5B2%5D=1, and x%5B1%5D=4


m=%281%29%2F%281-4%29 Subtract 2 from 3 to get 1


m=%281%29%2F%28-3%29 Subtract 4 from 1 to get -3


m=-1%2F3 Reduce


So the slope of the line that goes through the points and is m=-1%2F3


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-2=%28-1%2F3%29%28x-4%29 Plug in m=-1%2F3, x%5B1%5D=4, and y%5B1%5D=2


y-2=%28-1%2F3%29x%2B%28-1%2F3%29%28-4%29 Distribute


y-2=%28-1%2F3%29x%2B4%2F3 Multiply


y=%28-1%2F3%29x%2B4%2F3%2B2 Add 2 to both sides.


y=%28-1%2F3%29x%2B10%2F3 Combine like terms. note: If you need help with fractions, check out this solver.


y=%28-1%2F3%29x%2B10%2F3 Simplify


So the equation that goes through the points and is y=%28-1%2F3%29x%2B10%2F3


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Do you mean "Find an equation that represents the line passing through the points..."?

Use the two-point form of an equation of a straight line:



where and are the coordinates of the given points.


John

My calculator said it, I believe it, that settles it