SOLUTION: what is the equation of the line? m=2; P=(0,1)

Algebra ->  Linear-equations -> SOLUTION: what is the equation of the line? m=2; P=(0,1)      Log On


   

Question 352236: what is the equation of the line?
m=2; P=(0,1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you want to find the equation of line with a given a slope of 2 which goes through the point (0,1), you can simply use the point-slope formula to find the equation:


---Point-Slope Formula---
y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and is the given point

So lets use the Point-Slope Formula to find the equation of the line

y-1=%282%29%28x-0%29 Plug in m=2, x%5B1%5D=0, and y%5B1%5D=1 (these values are given)


y-1=2x%2B%282%29%280%29 Distribute 2


y-1=2x%2B0 Multiply 2 and 0 to get 0


y=2x%2B0%2B1 Add 1 to both sides to isolate y


y=2x%2B1 Combine like terms 0 and 1 to get 1

------------------------------------------------------------------------------------------------------------
Answer:


So the equation of the line with a slope of 2 which goes through the point (0,1) is y=2x%2B1