SOLUTION: write the slop-intercept form of the equation of the line passing through the point (6,2) and with slop M= -4.

Algebra ->  Linear-equations -> SOLUTION: write the slop-intercept form of the equation of the line passing through the point (6,2) and with slop M= -4.      Log On


   

Question 119887: write the slop-intercept form of the equation of the line passing through the point (6,2) and with slop M= -4.
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 -4 which goes through the point (6,2), 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-2=%28-4%29%28x-6%29 Plug in m=-4, x%5B1%5D=6, and y%5B1%5D=2 (these values are given)


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

y-2=-4x%2B24 Multiply -4 and -6 to get 24

y=-4x%2B24%2B2 Add 2 to both sides to isolate y

y=-4x%2B26 Combine like terms 24 and 2 to get 26
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Answer:


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

y=-4x%2B26 which is now in y=mx%2Bb form where the slope is m=-4 and the y-intercept is b=26

Notice if we graph the equation y=-4x%2B26 and plot the point (6,2), we get (note: if you need help with graphing, check out this solver)

Graph of y=-4x%2B26 through the point (6,2)
and we can see that the point lies on the line. Since we know the equation has a slope of -4 and goes through the point (6,2), this verifies our answer.