SOLUTION: Find the equation of the line that goes through the points (-3,2) and (4,5)..i got y=3/7x+5 but i checked and it doesnt fit

Algebra ->  Rational-functions -> SOLUTION: Find the equation of the line that goes through the points (-3,2) and (4,5)..i got y=3/7x+5 but i checked and it doesnt fit      Log On


   

Question 357153: Find the equation of the line that goes through the points (-3,2) and (4,5)..i got y=3/7x+5 but i checked and it doesnt fit
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=-3 and y%5B1%5D=2.
Also, is the second point . So this means that x%5B2%5D=4 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=%285-2%29%2F%284--3%29 Plug in y%5B2%5D=5, y%5B1%5D=2, x%5B2%5D=4, and x%5B1%5D=-3


m=%283%29%2F%284--3%29 Subtract 2 from 5 to get 3


m=%283%29%2F%287%29 Subtract -3 from 4 to get 7


So the slope of the line that goes through the points and is m=3%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-2=%283%2F7%29%28x--3%29 Plug in m=3%2F7, x%5B1%5D=-3, and y%5B1%5D=2


y-2=%283%2F7%29%28x%2B3%29 Rewrite x--3 as x%2B3


y-2=%283%2F7%29x%2B%283%2F7%29%283%29 Distribute


y-2=%283%2F7%29x%2B9%2F7 Multiply


y=%283%2F7%29x%2B9%2F7%2B2 Add 2 to both sides.


y=%283%2F7%29x%2B23%2F7 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=%283%2F7%29x%2B23%2F7


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

Also, feel free to check out my tutoring website

Jim