Question

8. Hint: Don't forget to notice if the slope of the line is positive or negative based on the direction of the line.
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Captionless Image
y = 1/3x -2
y = 1/3 x + 2
y = 3x - 2
y = 3x + 2

Answer 1

I can't see the image — could you upload it or describe two clear points on the line (for example the y‑intercept and one other grid point)?

Meanwhile, here is a quick method so you can pick the right choice:

1. Determine the y‑intercept b: where the line crosses the y‑axis (x = 0). That tells you whether b is +2 or −2.
2. Determine the slope m:
- If the line goes up when you move to the right, the slope is positive; if it goes down to the right, the slope is negative.
- Count rise/run between two grid points the line passes through. Example: from (0,2) to (3,3) gives rise = 1, run = 3 so slope = 1/3. From (0,−2) to (1,1) gives rise = 3, run = 1 so slope = 3.
3. Form y = mx + b and match to the choices.

Quick check of the options:
- slopes available: 1/3 or 3; intercepts: +2 or −2.
So find the sign and magnitude of the slope and whether the y‑intercept is +2 or −2 and pick the matching equation.

If you upload the graph or give two points on the line I’ll pick the exact answer.