Question

the equation is y= -1/3x - 1
9. Hint: Don't forget to notice if the slope of the line is positive or negative based on the direction of the line.
*
Captionless Image

Option 1

Option 2

Option 3

Answer 1

The line is y = (-1/3)x − 1.

Key facts to identify the correct graph:
- Slope m = −1/3 (negative) → the line falls from left to right (rises to the left).
- y‑intercept b = −1 → the line passes through (0, −1).
- Use the slope to get another point: from (0, −1), go right 3 units and down 1 unit → (3, −2). Or left 3 and up 1 → (−3, 0).

How to check the options quickly:
1. Find the graph that goes through (0, −1).
2. Confirm it also goes through (3, −2) or (−3, 0) (or pick any two clear points on the line and compute slope = (y2−y1)/(x2−x1) — it should equal −1/3).
3. Make sure the line slopes downward left→right.

If you upload or describe the three option images I’ll tell you which one matches.