document.write( "Question 998447: Find the point slope form of a line with Slope: −6 that passes through (−1,4) \r
\n" ); document.write( "\n" ); document.write( "(y− )= (x− ) \r
\n" ); document.write( "\n" ); document.write( " Write the line in slope intercept form below:\r
\n" ); document.write( "\n" ); document.write( "y=
\n" ); document.write( "

Algebra.Com's Answer #616211 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Point-slope form comes from the definition for slope of a line.
\n" ); document.write( "If two points (x,y) and (p,v) the number, m, for slope is \"m=%28y-v%29%2F%28x-p%29\".
\n" ); document.write( "\"m%28x-p%29=%28%28y-v%29%2F%28x-p%29%29%28x-p%29\"
\n" ); document.write( "\"m%28x-p%29=y-v\"
\n" ); document.write( "\"highlight_green%28y-v=m%28x-p%29%29\"------the point-slope form for a line.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Use your given values and just substitute. That's it!
\n" ); document.write( "\"y-4=-6%28x-%28-1%29%29\"
\n" ); document.write( "and you might want the simple simplification,
\n" ); document.write( "\"highlight_green%28y-4=-6%28x%2B1%29%29\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Change from the point-slope form into the slope-intercept form: SIMPLE algebra.
\n" ); document.write( "If starting in general with \"y-v=m%28x-p%29\"
\n" ); document.write( "(But watch your signs very carefullly);
\n" ); document.write( "\"y=m%28x-p%29%2Bv\"
\n" ); document.write( "\"y=mx-mp%2Bv\"
\n" ); document.write( "and then either as \"highlight%28y=mx-%28mp-v%29%29\" or \"highlight%28y=mx%2B%28v-mp%29%29\".
\n" ); document.write( "
\n" );