SOLUTION: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible. (2, -3) and (2, 4)

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Question 102307: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible. (2, -3) and (2, 4)
Found 2 solutions by doukungfoo, Fombitz:
Answer by doukungfoo(195) (Show Source):
You can put this solution on YOUR website!
When given two points on the same line you can find the slope using this formula:

the numbers are just a way of keeping the x and y for each point together.
Ok lets put the points we are given into the formula.

We ended up with a zero in the denominator. This tells us that the slope is undefined. There is only one type of line that doesn't have a slope and that is a vertical line. This makes since when we look at the two points given. (2,-3) and (2,4) both have the same x coordinate. This should clue you in right away that the line is vertical and goes through 2 on the x axis.
Slope intercept form of a line is
y = mx + b
where m is the slope and b is the y intercept
The equation for our line is x = 2
so Slope intercept form isn't possible with this line, because the slope is undefined and the line has no y intercept.

Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
To find the equation of a line, let's first find the slope of the line.
To find the slope, find the change in y and then the change in x.
Change in y :
Change in x :
Stop right there. You have a line where x never changes. The equation of that line is x=2.