document.write( "Question 803540: The line through (2,1) and (-3,n) has a gradient of -4. Find n \n" ); document.write( "

Algebra.Com's Answer #484408 by MathLover1(20849) $\"\"$ $\"About$

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The line through ( $\"2\"$ , $\"1\"$ ) and ( $\"-3\"$ , $\"n\"$ ) has a gradient of $\"-4\"$ . \r
\n" ); document.write( "\n" ); document.write( "Find $\"n\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"y=mx%2Bb\"$ ....use slope-intercept form to find equation of a line with a slope\r
\n" ); document.write( "\n" ); document.write( " $\"m=-4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=-x%2Bb\"$ ........use point ( $\"2\"$ , $\"1\"$ ) to find y-intercept $\"b\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1=-2%2Bb\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"b=3\"$ \r
\n" ); document.write( "\n" ); document.write( "so, your equation is:\r
\n" ); document.write( "\n" ); document.write( " $\"y=-x%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( "and plug in point ( $\"-3\"$ , $\"n\"$ ) \r
\n" ); document.write( "\n" ); document.write( " $\"n=-%28-3%29%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n=+3%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n=6\"$ \r
\n" ); document.write( "\n" ); document.write( "so, your point is at ( $\"-3\"$ , $\"n\"$ ) =( $\"-3\"$ , $\"6\"$ ) and both points, ( $\"2\"$ , $\"1\"$ ) and ( $\"-3\"$ , $\"6\"$ ) lie on a line\r
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