SOLUTION: Question: Write an equation of the ilne that passes through each point with the given slope. (-5,4),m=0

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Question 175488: Question: Write an equation of the ilne that passes through each point with the given slope. (-5,4),m=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 (-5,4), 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-4=%280%29%28x--5%29 Plug in m=0, x%5B1%5D=-5, and y%5B1%5D=4 (these values are given)


y-4=%280%29%28x%2B5%29 Rewrite x--5 as x%2B5


y-4=0x%2B%280%29%285%29 Distribute 0


y-4=0%2B%280%29%285%29 Multiply 0 and x to get 0


y-4=0%2B0 Multiply 0 and 5 to get 0


y=0%2B0%2B4 Add 4 to both sides to isolate y


y=4 Combine like terms.
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Answer:


So the equation of the line with a slope of 0 which goes through the point (-5,4) is:

y=4 which is now in y=mx%2Bb form where the slope is m=0 and the y-intercept is b=4

Notice if we graph the equation y=4 and plot the point (-5,4), we get


Graph of y=4 through the point (-5,4)
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 (-5,4), this verifies our answer.