Answer:
[tex]y=-\frac{1}{2}x-1[/tex]
Step-by-step explanation:
To find the equation of a line with slope intercept form, you need to find two things: the y intercept of the line, and the slope. Let's start with the y intercept. The y intercept is where the line intersects the y-axis, which is shown here to be -1. The slope can be found by taking a look how much the line "rises" over a certain amount of "run". You can see the line going from (-2,0) to (0,-1), which means dropping -1 and running 2. Therefore, the slope is -1/2. Now that you have both of the pieces, you can use the slope intercept form of y=mx+b, where m is slope and b is y intercept, giving you [tex]y=-\frac{1}{2}x-1[/tex]. Hope this helps!
