SOLUTION: slope 9 and y intercept (0,8) y=

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Question 252640: slope 9 and y intercept (0,8)
y=

Found 2 solutions by drk, jim_thompson5910:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Use Y= Mx + b.
8 = 0*9 + b
b = 8
equation is:
Y = 9x - 8

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 9 which goes through the point (0,8), 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-8=%289%29%28x-0%29 Plug in m=9, x%5B1%5D=0, and y%5B1%5D=8 (these values are given)


y-8=9x%2B%289%29%28-0%29 Distribute 9


y-8=9x%2B0 Multiply 9 and -0 to get 0


y=9x%2B0%2B8 Add 8 to both sides to isolate y


y=9x%2B8 Combine like terms 0 and 8 to get 8
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Answer:


So the equation of the line with a slope of 9 which goes through the point (0,8) is:


y=9x%2B8 which is now in y=mx%2Bb form where the slope is m=9 and the y-intercept is b=8


Notice if we graph the equation y=9x%2B8 and plot the point (0,8), we get (note: if you need help with graphing, check out this solver)



Graph of y=9x%2B8 through the point (0,8)
and we can see that the point lies on the line. Since we know the equation has a slope of 9 and goes through the point (0,8), this verifies our answer.