document.write( "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) \n" ); document.write( "

Algebra.Com's Answer #74365 by doukungfoo(195) $\"\"$ $\"About$

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When given two points on the same line you can find the slope using this formula:
\n" ); document.write( " $\"m=%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29\"$
\n" ); document.write( "the numbers are just a way of keeping the x and y for each point together.\r
\n" ); document.write( "\n" ); document.write( "Ok lets put the points we are given into the formula.
\n" ); document.write( " $\"m=%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29\"$
\n" ); document.write( " $\"m=%28-3-4%29%2F%282-2%29\"$
\n" ); document.write( " $\"m=-7%2F0\"$
\n" ); document.write( "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.
\n" ); document.write( "Slope intercept form of a line is
\n" ); document.write( "y = mx + b
\n" ); document.write( "where m is the slope and b is the y intercept
\n" ); document.write( "The equation for our line is x = 2
\n" ); document.write( "so Slope intercept form isn't possible with this line, because the slope is undefined and the line has no y intercept.
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