We used the slope and y-intercept to graph this equation.
Work Step by Step
Our equation given is: 4x+3y=2x-1. First lets solve for y. 4x+3y=2x-1 (Subtract 4x from both sides) 3y=-2x-1 (Divide both sides by 3) y=-2/3x-1/3 Now that we have the equation in slope intercept form, lets use the slope and the y-intercept to graph the equation. First start with our y-intercept which is (0,-1/3). Then plot the next point by going down 2 units and right 3 units since our slope is (-2/3). Continue doing this until you have enough points to create a line.