To find the x-intercept of the line, set y = 0 and solve for x:
[tex]\begin{gathered} x+2y=-2 \\ x+2(0)=-2 \\ x+0=-2 \\ x=-2 \\ \text{Then, the x-intercept is the point (-2,0)} \end{gathered}[/tex]
To find the y-intercept of the line, set x = 0 and solve for y:
[tex]\begin{gathered} x+2y=-2 \\ 0+2y=-2 \\ 2y=-2 \\ \text{ Divide by 2 from both sides of the equation} \\ \frac{2y}{2}=\frac{-2}{2} \\ y=-1 \\ \text{Then, the y-intercept is the point (0,-1)} \end{gathered}[/tex]
Finally, to graph the line, locate these two points on the Cartesian plane and then join them:
