SOLUTION: Write an equation in standard form of the line that passes through the given points. (2,6),(3,8)

Algebra ->  Linear-equations -> SOLUTION: Write an equation in standard form of the line that passes through the given points. (2,6),(3,8)      Log On


   

Question 173754: Write an equation in standard form of the line that passes through the given points.
(2,6),(3,8)
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

We use Point-Slope Form----->m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
where-->system%28y%5B2%5D=8%2Cy%5B1%5D=6%2Cx%5B2%5D=3%2Cx%5B1%5D=2%29
Then,
m=%288-6%29%2F%283-2%29=2%2F1=2
Then, via Slope-Intercept form: y=mx%2Bb
thru points (2,6):
6=2%2A2%2Bb-->b=6-4=2
Therefore it follows----------->y=2x%2B2
In standard: highlight%28-2x%2By-2=0%29
We'll see the graph:

Thank you,
Jojo