SOLUTION: The question asks "write an equation for the line containing the indicated points." they give me 1. (2,4)and (3,5) SO WHAT DO I DO.

Algebra ->  Linear-equations -> SOLUTION: The question asks "write an equation for the line containing the indicated points." they give me 1. (2,4)and (3,5) SO WHAT DO I DO.      Log On


   

Question 153129: The question asks "write an equation for the line containing the indicated points."
they give me
1. (2,4)and (3,5)
SO WHAT DO I DO.
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=%285-4%29%2F%283-2%29 Plug in y%5B2%5D=5, y%5B1%5D=4, x%5B2%5D=3, x%5B1%5D=2, ,


m=%281%29%2F%283-2%29 Subtract 4 from 5 to get 1


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


m=1 Reduce


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


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


y-4=1x%2B1%28-2%29 Distribute


y-4=1x-2 Multiply


y=1x-2%2B4 Add 4 to both sides.


y=1x%2B2 Combine like terms.


y=x%2B2 Simplify


So the equation that goes through the points and is y=x%2B2


Notice how the graph of y=x%2B2 goes through the points and . So this visually verifies our answer.
Graph of y=x%2B2 through the points and