SOLUTION: how do i find the equation of the line that passes through the points (-2,2) and (0,5)?

Algebra ->  Graphs -> SOLUTION: how do i find the equation of the line that passes through the points (-2,2) and (0,5)?      Log On


   

Question 175001: how do i find the equation of the line that passes through the points (-2,2) and (0,5)?
Answer by actuary(112) About Me  (Show Source):
You can put this solution on YOUR website!
Since two points are given, you first need to find the slope (m) of the line.
This is the general formula for the slope.
m=(y2-y1)/(x2-x1) Substituting the actual values into the formula we have
m = (5-2)/(0-(-2))= 3/2
Now you can use the point-slope formula
(y-2)=3/2*(x-(-2))
So y = 3/2x+3+2= (3/2)x+5
As a check, substitute the value for x=0 for the other given point.
y=(3/2)*0+5=5 (Checks out OK)
I hope that this helps