SOLUTION: find the equation of the line that contains the point (-1,7) and has a slope that is undefined. what is the equation of the line??

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Question 839741: find the equation of the line that contains the point (-1,7) and has a slope that is undefined.
what is the equation of the line??

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
if the slope is undefined, it's because you have a vertical line.

the rule is:

if the equation is y = c, you have a horizontal line.
if the equation is x = c, you have a vertical line.

c represents any constant.

your point is (-1,7) and your slope is undefined.

you have a vertical line.

a vertical line has an infinite number of values for y that can occur at the specified value of x.

your vertical line will be at x = -1.

y = 7 is a point on that line.
there are an infinite number of other points that are on that line and they all have their x-coordinate as -1.
some example:
(-1,7)
(-1,9)
(-1,15,000,000,000)
(-1,-15,000,000,000)

a graph of your equation will look something like this:
$$$







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