Answer:
The x-intercept is -6.
Explanation:
You could use a graphing calculator, which would make it so much easier to find, but under the circumstances you aren't allowed to do so, you should:
1) Start from the y-intercept. In your case, it is -2. Since the y-intercept is negative, you want to apply the slope in a certain way.
The line will remain the same if your slope is -1/3 or if it is 1/-3. In your case, since your y-intercept is -2, you want to apply the slope 1/-3.
2) Move the point (0,-2) up 1, then left 3. This will get you the point (-3,-1). Your final answer should be in the format (x,0).
3) Now, move the point (-3,-1) up 1, then left 3. This will result in your point being (-6,0). Notice how the y-value is 0, so this is your final answer.
Keep in mind that this technique will not always be so easy to use. This particular problem is fine, though.