SOLUTION: Write an equation of the line having the given point and containing the given line. m = -8 (6,9)

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line having the given point and containing the given line. m = -8 (6,9)      Log On


   

Question 223490: Write an equation of the line having the given point and containing the given line.
m = -8 (6,9)
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 -8 which goes through the point (6,9), 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-9=%28-8%29%28x-6%29 Plug in m=-8, x%5B1%5D=6, and y%5B1%5D=9 (these values are given)


y-9=-8x%2B%28-8%29%28-6%29 Distribute -8

y-9=-8x%2B48 Multiply -8 and -6 to get 48

y=-8x%2B48%2B9 Add 9 to both sides to isolate y

y=-8x%2B57 Combine like terms 48 and 9 to get 57
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Answer:


So the equation of the line with a slope of -8 which goes through the point (6,9) is:

y=-8x%2B57 which is now in y=mx%2Bb form where the slope is m=-8 and the y-intercept is b=57