SOLUTION: Find the equation for the information given. (you can do this in slope intercept form or point intercept form) Slope of the line is 2 and passes through the point (4,6).

Algebra ->  Graphs -> SOLUTION: Find the equation for the information given. (you can do this in slope intercept form or point intercept form) Slope of the line is 2 and passes through the point (4,6).      Log On


   

Question 104123: Find the equation for the information given. (you can do this in slope intercept form or point intercept form)
Slope of the line is 2 and passes through the point (4,6).
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 (4,6), 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-6=%282%29%28x-4%29 Plug in m=2, x%5B1%5D=4, and y%5B1%5D=6 (these values are given)


y-6=2x%2B%282%29%28-4%29 Distribute 2

y-6=2x-8 Multiply 2 and -4 to get -8

y=2x-8%2B6 Add 6 to both sides to isolate y

y=2x-2 Combine like terms -8 and 6 to get -2
------------------------------------------------------------------------------------------------------------
Answer:


So the equation of the line with a slope of 2 which goes through the point (4,6) is:

y=2x-2 which is now in y=mx%2Bb form where the slope is m=2 and the y-intercept is b=-2

Notice if we graph the equation y=2x-2 and plot the point (4,6), we get (note: if you need help with graphing, check out this solver)

Graph of y=2x-2 through the point (4,6)
and we can see that the point lies on the line. Since we know the equation has a slope of 2 and goes through the point (4,6), this verifies our answer.