Final Answer:
The graphs represent linear functions. Among them, the ones that pass through the origin (0, 0) are the second and third graphs (top-right and middle-left). The rest do not pass through the origin.
But since the task likely asks to identify which graphs show *proportional relationships* (i.e., lines through the origin with constant rate of change), the correct answer is:
Graphs 2 and 3 (counting left-to-right, top-to-bottom: 1st = top-left, 2nd = top-right, 3rd = middle-left, 4th = middle-right, 5th = bottom-left, 6th = bottom-right).
However, without explicit question text, the most standard interpretation for such a set is:
> “Which graphs represent direct variation (y = kx)?”
Only lines passing through (0,0) qualify.
So:
- Graph 1: crosses y-axis below origin → not proportional
- Graph 2: passes through origin, positive slope →
yes
- Graph 3: passes through origin, positive slope →
yes
- Graph 4: does *not* pass through origin (y-intercept negative, x-intercept negative) → no
- Graph 5: y-intercept positive → no
- Graph 6: y-intercept positive, x-intercept positive → no
Final Answer:
2 and 3
Parent Tip: Review the logic above to help your child master the concept of slope worksheet kuta.
