Identify the equation of a relation from a table
Given a table of values, decide whether a relation is direct or partial variation and identify its equation. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Which equation represents the relation shown in the table below?
(0, 0), (1, 3), (2, 6), (3, 9)
- y = −3x
- y = 3x
- y = 3x + 3
- y = 4x
Answer: y = 3x
See one solved, step by step
Which equation represents the relation shown in the table below?
(0, 4), (1, 6), (2, 8), (3, 10)
- y = 2x - 4
- y = 2x + 4
- y = −2x + 4
- y = 3x + 4
📘 Worked solution
1As x increases by 1, y changes by 2 each time.The rate of change (slope) is constant, so this is a linear relation.
2When x = 0, y = 4.The y-intercept is the y-value when x = 0, read straight from the table.
3y = 2x + 4Put the slope and y-intercept together: y = mx + b.
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