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AlgebraMediumy-intercept from a table of a linear relationship

Algebra practice question

The table shows three pairs of values for a linear relationship between x and y. x | y 1 | 7 3 | 13 7 | 25 What is the value of y when x = 0?

Answer: 4

Slope = (13 − 7)/(3 − 1) = 3, so y = 3x + b. Using (1, 7): 7 = 3 + b, b = 4. At x = 0, y = 4.

Common wrong answers

If you answered 1
1 comes from 7 − 6, subtracting the slope twice.
If you answered 3
3 is the slope.
If you answered 7
7 is y at x = 1, not x = 0.

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