SOLUTION: Write the equation of the line that passes through point (-6,-2) with a slope of 0.

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Question 173358: Write the equation of the line that passes through point (-6,-2) with a slope of 0.
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the line that passes through point (-6,-2) with a slope of 0.
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If the slope is zero the line is parallel to the x-axis.
Equation: y = -2
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Cheers,
Stan H.

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,-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=%280%29%28x--6%29 Plug in m=0, x%5B1%5D=-6, and y%5B1%5D=-2 (these values are given)


y%2B2=%280%29%28x--6%29 Rewrite y--2 as y%2B2


y%2B2=%280%29%28x%2B6%29 Rewrite x--6 as x%2B6


y%2B2=0x%2B%280%29%286%29 Distribute 0


y%2B2=0%2B0 Multiply 0 and x to get 0


y%2B2=0x%2B0 Multiply 0 and 6 to get 0


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


y=-2 Combine like terms and simplify
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Answer:


So the equation of the line with a slope of 0 which goes through the point (-6,-2) is:

y=-2


The graph looks like this:


Graph of y=-2 (green)