SOLUTION: Write the equation of the line that passes through point (6, 7) with a slope of 0

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Question 112036: Write the equation of the line that passes through point (6, 7) 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 (6,7), 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-7=%280%29%28x-6%29 Plug in m=0, x%5B1%5D=6, and y%5B1%5D=7 (these values are given)


y-7=0x%2B%280%29%28-6%29 Distribute 0

y-7=0x%2B0 Multiply 0 and -6 to get 0

y=0x%2B0%2B7 Add 7 to both sides to isolate y

y=0x%2B7 Combine like terms 0 and 7 to get 7

y=7 Remove the zero terms
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Answer:


So the equation of the line with a slope of 0 which goes through the point (6,7) is:

y=7 which is now in y=mx%2Bb form where the slope is m=0 and the y-intercept is b=7

Notice if we graph the equation y=7 and plot the point (6,7), we get (note: if you need help with graphing, check out this solver)

Graph of y=7 through the point (6,7)
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 (6,7), this verifies our answer.