document.write( "Question 30112: use the intercepts to graph the equation 4x-12=3y \n" ); document.write( "
Algebra.Com's Answer #17180 by sdmmadam@yahoo.com(530)![]() ![]() ![]() You can put this solution on YOUR website! use the intercepts to graph the equation 4x-12=3y \n" ); document.write( "4x-12=3y ----(1) \n" ); document.write( "That is 4x-3y = 12 \n" ); document.write( "Dividing by 12 \n" ); document.write( "4x/12 - 3y/12 = 12/12 \n" ); document.write( "x/3 -y/4 = 1 \n" ); document.write( "That is x/(3) + y/(-4) = 1 ----(2) \n" ); document.write( "comparing (1) with the standard intercept form of equation to a line \n" ); document.write( "given by \n" ); document.write( "x/a +y/b = 1 ----(*) \n" ); document.write( "we have x - intercept = 3 \n" ); document.write( "and y - intercept = (-4) \n" ); document.write( "This means the line cuts the x-axis at A(3,0) and the y-axis at B(0,-4) \n" ); document.write( "Please draw the horizontal and the vertical lines (two mutually perpendicular) call the horizontal line the x -axis \n" ); document.write( "call the vertical line the y-axis \n" ); document.write( "Mark the point of intersection O, the origin. \n" ); document.write( "From the origin O go (on some scale say the cm scale) a distance of 3 units along the x-axis to the right of the origin and mark A=(3,0) \n" ); document.write( "From the origin O go (on the same cm scale) a distance of 4 units along the \n" ); document.write( "y-axis below the origin and mark B=(0,-4) \n" ); document.write( "(We have OA = 3 units and OB = 4 units) \n" ); document.write( "Join the points A(3,0) and B(0,-4) and produce both ways. That is the required line \n" ); document.write( " |