SOLUTION: Write the equation of the line that contains the indicated pair of points (2,2)(5,8)

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line that contains the indicated pair of points (2,2)(5,8)      Log On


   

Question 503418: Write the equation of the line that contains the indicated pair of points
(2,2)(5,8)
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
y = mx + b
.
m = (change in y) / (change in x)
change in y = 8-2 = 6
change in x = 5-2 = 3
m = 6/3
m = 2
.
y = 2x + b
.
Substitute (2,2)
2 = 4 + b
b = -2
.
y = 2x -2
.
Check with the other point
2x -2 = ?
2(5) -2 = 10-2
10-2 = 8
Correct.
.
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C2%2Ax-2%29