document.write( "Question 449509: Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work.-3x-4y=18 \n" ); document.write( "
Algebra.Com's Answer #309225 by ClassPad(3)![]() ![]() You can put this solution on YOUR website! To find the x- and y-intercepts of -3x-4y=18:\r \n" ); document.write( "\n" ); document.write( "Two Separate problems to solve!!\r \n" ); document.write( "\n" ); document.write( "1st To find the x-intercept:\r \n" ); document.write( "\n" ); document.write( "Let y=0 and solve for x.\r \n" ); document.write( "\n" ); document.write( "-3x-4*0=18 \n" ); document.write( "-3x=18 \n" ); document.write( "x=18/-3 \n" ); document.write( "x=-6 --> x-intercept is (-6,0)\r \n" ); document.write( "\n" ); document.write( "2nd To find the y-intercept:\r \n" ); document.write( "\n" ); document.write( "Let x=0 and solve for y.\r \n" ); document.write( "\n" ); document.write( "-3*0-4y=18 \n" ); document.write( "-4y=18 \n" ); document.write( "y=18/-4 \n" ); document.write( "y=-9/2 \n" ); document.write( "y=-4.5 --> y-intercept is (0, -4.5)\r \n" ); document.write( "\n" ); document.write( "To graph, plot the x- and y-intercepts and draw the line!!\r \n" ); document.write( "\n" ); document.write( "You should also choose an x- or y-value, substitute into the original to find a check point. If your x- and y-intercepts are correct, the point will lie on the line.\r \n" ); document.write( "\n" ); document.write( "Example: If we let x=1, then \n" ); document.write( "-3*1-4y=18 \n" ); document.write( "-3-4y=18 \n" ); document.write( "-4y=21 \n" ); document.write( "y=21/-4 \n" ); document.write( "y=-5 1/4 \n" ); document.write( "y=-5.25 --> (1, -5.25) should lie on the line drawn using the intercepts :) \n" ); document.write( " |