Answer:
The first graph.
Step-by-step explanation:
Graphing inequalities is pretty simple! Basically, you get y alone (in this case, your y is already alone), and then you ignore the inequality symbol and graph y = (1/3)x - 3 like it's a normal line. So you graph that knowing the y-intercept is -3 and the slope is 1/3. Find the graph that has a y-intercept at -3, and then go up 1 unit and over 3 units, and figure out what the line looks like. In this case, your answer has to be one of the top two graphs (though I can't see the bottom two) because they match the slope and y-intercept of the given equation. After that, you can take two routes:
1. Visual method. Look at the sign, look at the graph of the line, and ask yourself, where are all the values greater than or equal to this line? Well, if they're greater than the line, the values are all above the line. Shade above.
2. Test points (better/more accurate). Pick one point on one side of the line, plug it in, and see if the inequality is true. If the inequality is true, shade in that direction. If it isn't true, shade in the opposite direction. For example, say I pick the test point (0, 0). Just make sure you don't pick a point that's ON the line; that won't help you!
Plug (0, 0) or whatever test point in:
0 >= (1/3)(0) -3
0 >= -3
And this inequality is true; on a number line, 0 is higher than -3. So you want to shade in the direction of (0, 0) from your line. The answer is the first graph.
