You can change it to Slope-Intercept form. That’s what I do as it’s easier to tell what is the slope and the y-intercept.
y=mx+b
2x + 3y = 6
3y = -2x + 6
y = -2/3x + 2
Steps:
Isolate y (move 2x to the other side) and change the sign of 2x (positive to negative). Divide everything in the equation by 3 in order to get y by itself.
Now that you have the equation, the slope is -2/3 and the y-intercept is 2. What I would do it start at 2 on the y axis and go down 2 units and to the right 3 units. The other way would be start at 2 on the y axis and go up 2 units on the y axis and then to the left 3 units. Your line should be a straight, diagonal line going down (in \ <— direction).
Hope this helped!! Tried to be as informative as possible.
