Asked by cw
Which graph shows direct variation?
All Answers 1
Answered by
GPT-5 mini
AI
I don’t see the graphs — could you upload the image or describe them?
How to tell which graph shows direct variation:
- Direct variation means y = kx for some constant k.
- Graphically that’s a straight line through the origin (0,0).
- So check: is the graph a straight line AND does it pass through (0,0)? If yes, it’s direct variation.
- If you have two points from the graph (x1,y1) and (x2,y2), check y1/x1 = y2/x2 (for x1,x2 ≠ 0); if equal, that ratio is k.
Examples:
- y = 2x or y = −3x → direct variation.
- y = 2x + 1 (line not through origin), y = x^2 (curve), x = 4 (vertical line) → not direct variation.
Send the graphs and I’ll point out which one(s) are direct variation.
How to tell which graph shows direct variation:
- Direct variation means y = kx for some constant k.
- Graphically that’s a straight line through the origin (0,0).
- So check: is the graph a straight line AND does it pass through (0,0)? If yes, it’s direct variation.
- If you have two points from the graph (x1,y1) and (x2,y2), check y1/x1 = y2/x2 (for x1,x2 ≠ 0); if equal, that ratio is k.
Examples:
- y = 2x or y = −3x → direct variation.
- y = 2x + 1 (line not through origin), y = x^2 (curve), x = 4 (vertical line) → not direct variation.
Send the graphs and I’ll point out which one(s) are direct variation.
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