document.write( "Question 60212: please help solve.\r
\n" ); document.write( "\n" ); document.write( "find an equation of each line, and write it in slope intercept form\r
\n" ); document.write( "\n" ); document.write( "through (-2,3) and (6,-1)
\n" ); document.write( "

Algebra.Com's Answer #41329 by funmath(2933)\"\" \"About 
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Find an equation of each line, and write it in slope intercept form\r
\n" ); document.write( "\n" ); document.write( "through (-2,3) and (6,-1)
\n" ); document.write( "In order to write the equation of a line, we need a slope and a point. We don't have a slope, but we can find it when given two points, using the slope formula:\"highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29\"
\n" ); document.write( "(x1,y1)=(-2,3) and (x2,y2)=(6,-1)
\n" ); document.write( "\"m=%28-1-3%29%2F%286-%28-2%29%29\"
\n" ); document.write( "\"m=-4%2F%286%2B2%29\"
\n" ); document.write( "\"m=-4%2F8\"
\n" ); document.write( "\"m=-1%2F2\"
\n" ); document.write( "Now we can use the point slope formula to find the equation of a line:\"highlight%28y-y1=m%28x-x1%29%29\", m=slope, (x1,y1)=a given point.
\n" ); document.write( "m=-1/2 and (x1,y1)=(-2,3)
\n" ); document.write( "\"y-3=%28-1%2F2%29%28x-%28-2%29%29\"
\n" ); document.write( "\"y-3=%28-1%2F2%29%28x%2B2%29\"
\n" ); document.write( "\"y-3=%28-1%2F2%29x-2%2F2\"
\n" ); document.write( "\"y-3=%28-1%2F2%29x-1\"
\n" ); document.write( "\"y-3%2B3=%28-1%2F2%29x-1%2B3\"
\n" ); document.write( "\"highlight%28y=%28-1%2F2%29x%2B2%29\"
\n" ); document.write( "This is in slope intercept form: \"highlight%28y=mx%2Bb%29\"
\n" ); document.write( "Happy Calculating!!!
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