document.write( "Question 164865: Write an equation of the line through the given point with the given slope in slope intercept form. (3,3); m=-6 \n" ); document.write( "
Algebra.Com's Answer #121482 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! slope intercept form of equation going through the point (x1,y1) is \n" ); document.write( "(y-y1) = (x-x1)*m \n" ); document.write( "where m is the slope. \n" ); document.write( "----- \n" ); document.write( "you are given the following: \n" ); document.write( "m = -6 \n" ); document.write( "y1 = 3 \n" ); document.write( "x1 = 3 \n" ); document.write( "equation becomes \n" ); document.write( "y-3 = (x-3)*-6 \n" ); document.write( "simplifying: \n" ); document.write( "y-3 = -6x + 18 \n" ); document.write( "adding 3 to both sides \n" ); document.write( "y = -6x + 21 \n" ); document.write( "----- \n" ); document.write( "that's the equation in slope intercept form (y = mx+b) \n" ); document.write( "m is the slope = -6 \n" ); document.write( "b is the y intercept = 21 \n" ); document.write( "----- \n" ); document.write( "to prove the y intercept is correct, let x = 0. \n" ); document.write( "then y = 21 \n" ); document.write( "----- \n" ); document.write( "to prove this equation goes through the point (3,3), then substitute 3 for x and 3 for y. \n" ); document.write( "y = -6x + 21 \n" ); document.write( "3 = -6(3) + 21 \n" ); document.write( "3 = -18 + 21 \n" ); document.write( "add 18 to both sides. \n" ); document.write( "21 = 21 \n" ); document.write( "proven. \n" ); document.write( "----- \n" ); document.write( " \n" ); document.write( " |