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What is the relationship between x and y when x is 2 6 13 17 22 and y is 6 14 28 36 46?
Wiki User
∙ 12y ago
The relationship is linear, with a slope of 2. Slope is rise/run, or change in y divided by change in x. Greek letter delta (Δ) is used to denote change in a variable.
So Δx = (6 - 2) = 4, and Δy = (14 - 6) = 8 ; 8/4 = 2. It is linear, because the slope stays the same regardless of which data pairs you check this with.:
- Δx = (22 - 2) = 20, and Δy = 46 - 6 = 40 ; then 40/20 = 2.
Now with y = 2x + b, solve for b = y - 2x, and plug in pairs: b = 6 - 2(2) = 6-4 = 2. Using any two pairs of x,y gives b = 2, so the data set fits the line:
y = 2x + 2
Wiki User
∙ 12y ago
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