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Question 224247: Write the slope intercept form of the equation of the line through the given point with the given slope.
through: (2,5), slope=undefined
Found 2 solutions by rfer, drj:
Answer by rfer(16322)   (Show Source):
Answer by drj(1380)  (Show Source):
You can put this solution on YOUR website! Write the slope intercept form of the equation of the line through the given point with the given slope.
through: (2,5), slope=undefined
Step 1. When you see the slope is undefined then the line is a vertical line or at x=a where a is the x-intercept. An undefined slope means the slope is too large to describe or m is infinity.
Step 2. For (2,5), then x=2 and y=5.
Step 3. ANSWER: The equation of the line is x=2 ( a vertical line)
We note that a line in slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b). But the slope is undefined in this case.
I hope the above steps and explanation were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
And good luck in your studies!
Respectfully,
Dr J
http://www.FreedomUniversity.TV
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