SOLUTION: Write the equation of the line that passes through point (–1, 4) with a slope of 0.

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Question 92286: Write the equation of the line that passes through point (–1, 4) 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 (-1,4), 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 (x%5B1%5D,y%5B1%5D) is the given point

So lets use the Point-Slope Formula to find the equation of the line

y-4=%280%29%28x--1%29 Plug in m=0, x%5B1%5D=-1, and y%5B1%5D=4 (these values are given)

y-4=%280%29x-%280%29%28-1%29%29 Distribute 0

y-4=%280%29x%2B%280%29%28-1%29%29 Multiply the negatives

y-4=%280%29x%2B0 Multiply 0 and -1 to get 0

y=%280%29x%2B0%2B4Add 4 to both sides

y=0x%2B4 Combine like terms

y=4 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 (-1,4) 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 (-1,4), we get (note: if you need help with graphing, check out this solver)

Graph of y=4 through the point (-1,4)
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 (-1,4), this verifies our answer.