document.write( "Question 520420: how do you find the slope-intercept form of an equation?
\n" ); document.write( "please help! time is of the essnce! thank you so much.
\n" ); document.write( "
\n" ); document.write( " morgan
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #346070 by oberobic(2304)\"\" \"About 
You can put this solution on YOUR website!
The slope-intercept form of an equation is:
\n" ); document.write( "y = mx + b
\n" ); document.write( ".
\n" ); document.write( "where
\n" ); document.write( "m = slope = change in y / change in x
\n" ); document.write( "b = y-intercept, which occurs where x=0, so the ordered pair is (0,b)
\n" ); document.write( ".
\n" ); document.write( "Consider the following:
\n" ); document.write( "2x + 3y = 5
\n" ); document.write( "subtract 2x from both sides
\n" ); document.write( "3y = -2x +5
\n" ); document.write( "divide both sides by 3
\n" ); document.write( "y = -(2/3)x + 5/3
\n" ); document.write( ".
\n" ); document.write( "m = slope = -2/3
\n" ); document.write( ".
\n" ); document.write( "y-intercept = (0, 5/3)
\n" ); document.write( ".
\n" ); document.write( "x-intercept occurs where y=0, so simply substitute 0 for y and solve for x.
\n" ); document.write( "0 = -(2/3)x + 5/3
\n" ); document.write( "add (2/3)x to both sides
\n" ); document.write( "(2/3)x = 5/3
\n" ); document.write( "multiply both sides by 3 to eliminate fraction
\n" ); document.write( "2x = 5
\n" ); document.write( "divide both sides by 2
\n" ); document.write( "x = 5/2
\n" ); document.write( "so the x-intercept is (5/2,0)
\n" ); document.write( ".
\n" ); document.write( "A graph is often helpful.
\n" ); document.write( ".
\n" ); document.write( "\"+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C-%282%2F3%29%2Ax+%2B+5%2F3%29+\"
\n" ); document.write( "
\n" );