SOLUTION: Write an equation in standard form of the line that passes through (3, 1) and has a y-intercept of -2. Can I have an explanation on how to do this?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Write an equation in standard form of the line that passes through (3, 1) and has a y-intercept of -2. Can I have an explanation on how to do this?      Log On


   

Question 857008: Write an equation in standard form of the line that passes through (3, 1) and has a y-intercept of -2.
Can I have an explanation on how to do this?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the slope intercept form of the line, y=mx%2Bb
Since you know the intercept,
y=mx-2
Now solve for m using the point.
1=m%283%29-2
3m-2=1
3m=3
m=1
So the equation is
y=x-2
-x%2By=-2
Standard form has integer multipliers for x and y and the x coefficient is positive.
highlight%28x-y=2%29