SOLUTION: what is the equation of the line with an undefined slope and x intercept =2

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Question 213509: what is the equation of the line with an undefined slope and x intercept =2
Found 2 solutions by drj, MathTherapy:
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
What is the equation of the line with an undefined slope and x intercept =2

Step 1. The general equation is y=mx+b where m is the slope and b is the y-intercept. The equation called the slope-intercept form.

Step 2. We are given that the x-intercept is 2 which means at x=2 then y=0.

Step 3. Substitute in the general equation to find b

y=mx%2Bb

0=m%282%29%2Bb

b=-2m

Step 4. With b=-2m substitute in equation of Step 1.

y=mx-2m OR y=m%28x-2%29 ANSWER

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
An equation with an undefined slope is one that has a 0 (zero) in the denominator of its slope. Additionally, such an equation is NOT a function, as it has numerous "y" values for a single "x" value.

This means that it'll have ONE and ONLY one x-intercept, and NUMEROUS y-values.

As is obvious, this equation also reflects a line that is VERTICAL, and as mentioned above, will intercept the x-axis at ONe and ONLY ONE point.

Therefore, the equation is simply highlight_green%28x+=+2%29