SOLUTION: Please Help me, I am not sure how to figure this out. Write the equation of the line that passes through point (1, –8) with a slope of 0.

Algebra ->  Linear-equations -> SOLUTION: Please Help me, I am not sure how to figure this out. Write the equation of the line that passes through point (1, –8) with a slope of 0.      Log On


   

Question 105310: Please Help me, I am not sure how to figure this out.
Write the equation of the line that passes through point (1, –8) with a slope of 0.
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 0 which goes through the point (1,-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=%280%29%28x-1%29 Plug in m=0, x%5B1%5D=1, and y%5B1%5D=-8 (these values are given)


y%2B8=%280%29%28x-1%29 Rewrite y--8 as y%2B8


y%2B8=0x%2B%280%29%28-1%29 Distribute 0

y%2B8=0x%2B0 Multiply 0 and -1 to get 0

y=0x%2B0-8 Subtract 8 from both sides to isolate y

y=0x-8 Combine like terms 0 and -8 to get -8


y=-8 Remove the zero terms
------------------------------------------------------------------------------------------------------------
Answer:


So the equation of the line with a slope of 0 which goes through the point (1,-8) is:

y=-8 which is now in y=mx%2Bb form where the slope is m=0 and the y-intercept is b=-8

Notice if we graph the equation y=-8 and plot the point (1,-8), we get (note: if you need help with graphing, check out this solver)

Graph of y=-8 through the point (1,-8)
and we can see that the point lies on the line. Since we know the equation has a slope of 0 and goes through the point (1,-8), this verifies our answer.