document.write( "Question 995091: Write an equation of the line with these conditions:
\n" ); document.write( "2,5 slope 3
\n" ); document.write( "-3-1 slope 1/2
\n" ); document.write( "(-3,4), (1,12)
\n" ); document.write( "(-1,6) (2,4)
\n" ); document.write( "(2,1) slope 0 \n" ); document.write( "

Algebra.Com's Answer #613930 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
here you need to use slope-intercept form of equation of the line: $\"y=mx%2Bb\"$ where $\"m\"$ is the slope and $\"b\"$ is y-intercept\r
\n" ); document.write( "\n" ); document.write( "use given point ( $\"2\"$ , $\"5\"$ ) and slope $\"m=3\"$ to find y-intercept $\"b\"$
\n" ); document.write( "
\n" ); document.write( "so,we have\r
\n" ); document.write( "\n" ); document.write( " $\"5=3%2A2%2Bb\"$
\n" ); document.write( " $\"5=6%2Bb\"$
\n" ); document.write( " $\"5-6=b\"$
\n" ); document.write( " $\"b=-1\"$ \r
\n" ); document.write( "\n" ); document.write( "so, your equation is: $\"y=3x-1\"$ \r
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "for
\n" ); document.write( "( $\"-3\"$ , $\"-1\"$ ) and slope $\"m=1%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( "we have
\n" ); document.write( " $\"-1=%281%2F2%29%2A%28-3%29%2Bb\"$
\n" ); document.write( " $\"-1=-3%2F2%2Bb\"$
\n" ); document.write( " $\"-1%2B3%2F2=b\"$
\n" ); document.write( " $\"-2%2F2%2B3%2F2=b\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"b=1%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " equation is: $\"y=%281%2F2%29x%2B1%2F2\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "for\r
\n" ); document.write( "\n" ); document.write( "( $\"-3\"$ , $\"4\"$ ), ( $\"1\"$ , $\"12\"$ )\r
\n" ); document.write( "\n" ); document.write( "we have\r
\n" ); document.write( "\n" ); document.write( " $\"4=m%2A%28-3%29%2Bb\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4=-3m%2Bb\"$ .........eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"12=m%2A%281%29%2Bb\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"12=m%2Bb\"$ .........eq.2\r
\n" ); document.write( "\n" ); document.write( "subtract eq.1 from eq.2\r
\n" ); document.write( "\n" ); document.write( " $\"12-4=m%2Bb-%28-3m%2Bb%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8=m%2Bcross%28b%29%2B3m-cross%28b%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8=4m\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"m=2\"$ \r
\n" ); document.write( "\n" ); document.write( "go to $\"4=-3m%2Bb\"$ .........eq.1 substitute $\"2\"$ for $\"m\"$ and solve for $\"b\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4=-3%2A2%2Bb\"$
\n" ); document.write( " $\"4=-6%2Bb\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4%2B6=b\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"b=10\"$ \r
\n" ); document.write( "\n" ); document.write( "equation is: $\"y=2x%2B10\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "for\r
\n" ); document.write( "\n" ); document.write( "( $\"-1\"$ , $\"6\"$ ) ( $\"2\"$ , $\"4\"$ )\r
\n" ); document.write( "\n" ); document.write( " $\"6=m%2A%28-1%29%2Bb\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6=-m%2Bb\"$ .........eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"4=m%2A%282%29%2Bb\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4=2m%2Bb\"$ .........eq.2
\n" ); document.write( "-------------------\r
\n" ); document.write( "\n" ); document.write( " $\"6-4=-m%2Bb-%282m%2Bb%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2=-m%2Bb-2m-b\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2=-3m\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"m=-2%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4=2%28-2%2F3%29%2Bb\"$ .........eq.2\r
\n" ); document.write( "\n" ); document.write( " $\"4=%28-4%2F3%29%2Bb\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4%2B4%2F3=b\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"12%2F3%2B4%2F3=b\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16%2F3=b\"$ \r
\n" ); document.write( "\n" ); document.write( "equation is: $\"y=-%282%2F3%29x%2B16%2F3\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "for\r
\n" ); document.write( "\n" ); document.write( "( $\"2\"$ , $\"1\"$ ) and slope $\"m=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1=0%2A%282%29%2Bb\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"b=1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "equation is: $\"y=1\"$ (horizontal line)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

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

\n" );