document.write( "Question 167433: find the lope, the slope point form, slope intercept form, and standard form of the equation through the points (-5,6)(3,10) for slope intercept and standard form \n" ); document.write( "
Algebra.Com's Answer #123339 by jojo14344(1513)\"\" \"About 
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\n" ); document.write( "\"y%2B9=%28-2%2F5%29%28x-3%29\", EQN 1
\n" ); document.write( "It follows Point Slope Form Eqn: \"y=mx%2Bb\"
\n" ); document.write( "Continuing,
\n" ); document.write( "\"y=%28-2%2F5%29x%2B%286%2F5%29-9\"
\n" ); document.write( "\"y=%28-2%2F5%29x%2B%286-45%29%2F5\"
\n" ); document.write( "\"y=%28-2%2F5%29x%2B%28-39%2F5%29\" ---> \"highlight%28slope=%28-2%2F5%29%29\"
\n" ); document.write( "In standard form:\"ax%2Bby=c\", then EQN 1 becomes:
\n" ); document.write( "\"y%2B9=-2%2F5%28x-3%29\" ---> \"y%2B%282%2F5%29x=%286%2F5%29-9\"
\n" ); document.write( "\"%282%2F5%29x%2By=%286-45%29%2F5=-39%2F5\", multiply eqn by \"5\"
\n" ); document.write( "\"highlight%282x%2B5y=-39%29\" --------> Standard Equation
\n" ); document.write( ".
\n" ); document.write( "Using Point-Slope Form for points (-5,6)(3,10):
\n" ); document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"
\n" ); document.write( "\"m=%2810-6%29%2F%283-%28-5%29%29=4%2F%283%2B5%29=4%2F8\"
\n" ); document.write( "\"highlight%28m=1%2F2%29\", Slope
\n" ); document.write( "Thru points (-5,6), standard line eqn:
\n" ); document.write( "Via \"y=mx%2Bb\"
\n" ); document.write( "\"6=%281%2F2%29%28-5%29%2Bb\"
\n" ); document.write( "\"6%2B%285%2F2%29=b\" --> \"b=%2812%2B5%29%2F2\" ---> \"b=17%2F2\", y-intercept
\n" ); document.write( "Therefore it follows,
\n" ); document.write( "\"y=%281%2F2%29x%2B%2817%2F2%29\" ---> \"%28-1%2F2%29x%2By=17%2F2\", Multiply by \"2\" the eqn:
\n" ); document.write( "\"highlight%28-x%2B2y=17%29\", STANDARD FORM
\n" ); document.write( "We'll see the graph:
\n" ); document.write( "--- See Green Line \"-x%2B2y=17\" passes thru points (-5,6)(3,10)
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
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