document.write( "Question 106052: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible. Points: (2,-3) and (2,4) Thanks....again! \n" ); document.write( "

Algebra.Com's Answer #77159 by MathLover1(20849) $\"\"$ $\"About$

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We need to find equation of form $\"y=ax%2Bb\"$ , where $\"a\"$ is $\"slope\"$ , and $\"b\"$ is $\"intercept\"$ , which passes through points ( $\"x1\"$ , $\"y1\"$ ) = ( $\"2\"$ , $\"-3\"$ ) and ( $\"x2\"$ , $\"y2\"$ ) = ( $\"2\"$ , $\"4\"$ ).\r
\n" ); document.write( "\n" ); document.write( "Slope $\"a+\"$ is \r
\n" ); document.write( "\n" ); document.write( " $\"a+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"$ \r
\n" ); document.write( "\n" ); document.write( "intercept $\"b\"$ is\r
\n" ); document.write( "\n" ); document.write( " $\"b+=+y%5B1%5D+-+a%2Ax%5B1%5D\"$ \r
\n" ); document.write( "\n" ); document.write( "so, we will have:\r
\n" ); document.write( "\n" ); document.write( " $\"a+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a+=+%284+-+%28-3%29%29%2F%282+-+2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " since the $\"x\"$ coordinates of both points are the same, we cannot describe the line that passes through these two points as a non-vertical line. This line is a vertical line, paralel to $\"y\"$ axis and goes throug $\"x=2\"$ \r
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