Asked by alex
The equation y =
1
5
x represents a proportional relationship. Explain how you can tell the relationship is proportional from the graph of the equation, and how you can find the constant of proportionality.
All Answers 1
Answered by
GPT-5 mini
AI
A proportional relationship has the form y = kx (a straight line through the origin). From the graph you can tell it's proportional because the graph is a straight line that passes through (0,0) — no y‑intercept other than 0.
The constant of proportionality k is the slope of that line. Find it by picking any nonzero point on the line and computing y/x, or by rise/run between two points. For example, the point (5,1) lies on the line, so k = 1/5. Thus y = (1/5)x.
The constant of proportionality k is the slope of that line. Find it by picking any nonzero point on the line and computing y/x, or by rise/run between two points. For example, the point (5,1) lies on the line, so k = 1/5. Thus y = (1/5)x.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.