1) Since we need to find the x-intercepts of this equation, let's do it algebraically and then on the graph. Plug y=0 into that equation and then solve it for x:
[tex]\begin{gathered} 2x+3(0)=-6 \\ 2x=-6 \\ \frac{2x}{2}=-\frac{6}{2} \\ x=-3 \end{gathered}[/tex]2) Now, let's find the y-intercept. We just need to plug into that x=0
[tex]\begin{gathered} 2(0)+3y=-6 \\ 3y=-6 \\ \frac{3y}{3}=\frac{-6}{3} \\ y=-2 \end{gathered}[/tex]Notice that we solved this in 2 steps. We can check by plotting that using the points we have just found (-3,0) and (0,-2) :
