document.write( "Question 54873: write an equation in the point-slope form and the slope-intercept form..thanks\r
\n" ); document.write( "\n" ); document.write( "slope=-5, passing through (-4, -2)
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Algebra.Com's Answer #37169 by funmath(2933)\"\" \"About 
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write an equation in the point-slope form and the slope-intercept form.
\n" ); document.write( "slope=-5, passing through (-4, -2)
\n" ); document.write( ":
\n" ); document.write( "The point-slope formula is \"highlight%28y-y1=m%28x-x1%29%29\" where m=slope and (x1,y1) is the given point:
\n" ); document.write( "\"y-%28-2%29=-5%28x-%28-4%29%29\"
\n" ); document.write( "\"y%2B2=-5%28x%2B4%29\" <--Point-slope form
\n" ); document.write( ":
\n" ); document.write( "The slope intercept form is \"highlight%28y=mx%2Bb%29\", where m=slope and (0,b)=y-intercept. We take the point-slope form and solve it for y.
\n" ); document.write( "\"y%2B2=-5%28x%2B4%29\"
\n" ); document.write( "\"y%2B2=-5x-20\"
\n" ); document.write( "\"y%2B2-2=-5x-20-2\"
\n" ); document.write( "\"y=-5x-22\" <---slope-intercept form
\n" ); document.write( "Happy Calculating!!!
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