Answer:
(0,3) and (4.5,0)
Step-by-step explanation:
First put the equation into slope-intercept form.
[tex]2x+3y=6[/tex] (Subtract 2x from each side to isolate y)
[tex]3y=-2x+6[/tex] (Divide all by 3 to fully isolate y)
[tex]y=-\frac{2}{3} +3[/tex] (Slope equals [tex]-\frac{2}{3}[/tex] and y-intercept equals 3)
Now we can graph this to find our plot points. You begin with the y-intercept, 3. That can be represented as (0,3). That is your first point and the beginning point of the equation.
Next you use the slope to find the next intercept point. Because of the negative, you go down from (0,3) 2 units, and then right 3 units. Do this until you get the point that crosses the x-axis to find your second point which is (4.5, 0). I've attached a picture of what that looks like.
I hope this helped :)
