document.write( "Question 240153: How do you find the slope and y-intercept of the line 6x-2y=8 \n" ); document.write( "
Algebra.Com's Answer #176045 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! How do you find the slope and y-intercept of the line 6x-2y=8 \n" ); document.write( ": \n" ); document.write( "Perform the necessary operations to put the equation into the slope/intercept form \n" ); document.write( "thats y = mx - b; where m = slope and b = the intercept \n" ); document.write( ": \n" ); document.write( "6x - 2y = 8 \n" ); document.write( "Subtract 6x from both sides \n" ); document.write( "-2y = -6x + 8 \n" ); document.write( "y has to be positive, multiply both sides -1 change the signs \n" ); document.write( "2y = 6x - 8 \n" ); document.write( "Divide by 2 to give y a coefficient of 1: \n" ); document.write( "y = \n" ); document.write( "which is \n" ); document.write( "y = 3x - 4 \n" ); document.write( "slope = 3; y intercept = -4 \n" ); document.write( ": \n" ); document.write( "Check this in the original equation, we know the y intercept occurs when x=0 \n" ); document.write( "6x - 2y = 8 \n" ); document.write( "6(0) - 2y = 8 \n" ); document.write( "-2y = 8 \n" ); document.write( "divide both sides by -2, and we get \n" ); document.write( "y = -4 which is what we got \n" ); document.write( " |