document.write( "Question 1009632: Write the point-slope form of the equation with the given characteristics. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1. slope=2 ; y-intercept=3 \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2. slope=-2 ; passes through (-3,5) \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3. parallel to the line y=3/5x-8 ; passes through (0,-3) \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4. perpendicular to the line y=-2x-7 ; passes through (-3,10)
\n" ); document.write( "

Algebra.Com's Answer #625107 by josgarithmetic(39616)\"\" \"About 
You can put this solution on YOUR website!
Point-slope form equation comes from formula for slope according to its definition.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Points (p,w) and (x,y) have a slope \"m=%28y-w%29%2F%28x-p%29\".
\n" ); document.write( "\"m%28x-p%29=%28%28y-w%29%2F%28x-p%29%29%28x-p%29\"
\n" ); document.write( "\"m%28x-p%29=y-w\"
\n" ); document.write( "\"highlight_green%28y-w=m%28x-p%29%29\"------point-slope equation form, slope m, known point (p,w).\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You will handle questions 1 and 2 yourself.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "#3, if parallel, then slope is the same.
\n" ); document.write( "\"y-%28-3%29=%283%2F5%29%28x-0%29\"
\n" ); document.write( "\"highlight%28y%2B3=%283%2F5%29x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "#4, if perpendicular, then slope to use is the negative reciprocal.
\n" ); document.write( "\"y-10=%281%2F2%29%28x-%28-3%29%29\"
\n" ); document.write( "\"highlight%28y-10=%281%2F2%29%28x%2B3%29%29\"
\n" ); document.write( "
\n" );