Answer
We used the slope and y-intercept to graph this equation.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/ebbc7852-febf-4efa-9f65-7b418ffb6acb/result_image/1515803916.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001339Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=f8596cb3fc60fcb0aefa98f9ef7957a2ba7a51dcfd8a487d0c2b6bc3872353e7)
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.