SOLUTION: Find th equation of the line below.If necessary, use a slash to indicate a division bar.. (2,14) (1,7)

Algebra ->  Equations -> SOLUTION: Find th equation of the line below.If necessary, use a slash to indicate a division bar.. (2,14) (1,7)      Log On


   

Question 620096: Find th equation of the line below.If necessary, use a slash to indicate a division bar..
(2,14) (1,7)
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
.
Here is how to find the equation of the line that goes through these two points.
(2,14) and (1,7)
.
STEP I: Find the slope of the line. The slope m is the change in the y-coordinates divided by the change in the x-coordinates.
.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%287-14%29%2F%281-2%29
m=%28-7%29%2F%28-1%29=7
.
The slope of the line is 7.
.
STEP II: Use the point-slope form to find an equation. You can use either point; I'll use (2,14).
.
y-y%5B1%5D=m%28x-x%5B1%5D%29
y-14=7%28x-2%29
.
Simplify.
y-14=7x-14
y=7x
.
Simplifies, the equation of the line is y=7x.
.
Feel free to email me if you have questions about the solution.
.
Ms.Figgy
math.in.the.vortex@gmail.com