document.write( "Question 953125: I need help putting the equation 4x plus 5y equals negative 10 on a coordinate plane. This one has given me a lot of trouble. \n" ); document.write( "
Algebra.Com's Answer #582056 by addingup(3677) You can put this solution on YOUR website! There are two axes in a plain: the x axis is horizontal (left to right) and the y axis is vertical (up and down). They intersect, generally in the middle of each.\r \n" ); document.write( "\n" ); document.write( "4x + 5y = -10 \n" ); document.write( "To graph it, you have to put it in the slope intercept form: y = mx + b where m = slope and b = y intercept (where the graph line crosses the y-axis) And, importantly, m (slope) = rise/run. Rise goes up if positive, down if negative and run left if negative and right if positive:\r \n" ); document.write( "\n" ); document.write( "4x + 5y = -10 becomes y = -10/5 - 4/5 Simplify 10/5, divide both by 5. We now have: y = -2 - 4/5x Just to make this match the formula y= mx+b I am going to switch the terms on the right: \n" ); document.write( "y = -4/5x - 2 Now you can start graphing. Since b= -2, go down 2 on the vertical line. Now we've got a rise of -4 and a run of 5. Count 4 down on the y and 5 to the right. Look at the graph I made you. A picture truly speaks a thousand words.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |