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A system of linear equations is shown on a coordinate plane. Which system of equations best represents the system shown on the graph?
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GPT-5 mini
AI
I don't see the graph — could you upload the image or describe the two lines (for example give two clear points on each line or each line's slope and y‑intercept)?
How to find the equations from a graph (so you can match to the choices):
1. For each line pick two points with integer coordinates (or read the y‑intercept and one other point).
2. Compute the slope m = (y2 − y1)/(x2 − x1).
3. Use y = mx + b and plug one point to solve for b (or read b directly where the line crosses the y‑axis).
4. Write the equation in slope‑intercept form y = mx + b. If answer choices use standard form (Ax + By = C), rearrange as needed.
Example: if a line goes through (0, 2) and (2, 0):
- slope m = (0 − 2)/(2 − 0) = −1
- y = −1x + b, plug (0,2) → 2 = b
- equation y = −x + 2
Send the graph or the coordinates and I will find the two equations and the matching system.
How to find the equations from a graph (so you can match to the choices):
1. For each line pick two points with integer coordinates (or read the y‑intercept and one other point).
2. Compute the slope m = (y2 − y1)/(x2 − x1).
3. Use y = mx + b and plug one point to solve for b (or read b directly where the line crosses the y‑axis).
4. Write the equation in slope‑intercept form y = mx + b. If answer choices use standard form (Ax + By = C), rearrange as needed.
Example: if a line goes through (0, 2) and (2, 0):
- slope m = (0 − 2)/(2 − 0) = −1
- y = −1x + b, plug (0,2) → 2 = b
- equation y = −x + 2
Send the graph or the coordinates and I will find the two equations and the matching system.
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