16Hit1600
AlgebraEasy–MediumSlope of a line

Algebra practice question

A line passes through the points (0, 3) and (2, 7). What is the slope of the line?

  1. A. 1
  2. B. 2Correct
  3. C. 3
  4. D. 4

Answer: B. 2

Slope = (change in y)/(change in x) = (7 − 3)/(2 − 0) = 4/2 = 2. Choice D (4) is the rise alone — don't forget to divide by the run.

Why the other answers are wrong

A. 1
Slope 1 would mean the y-values rise by the same amount the x-values do, but here y rises 4 while x rises only 2, so the slope is 4/2 = 2.
C. 3
3 is the y-intercept — the y-value at x = 0 — not the slope. The slope is (7 − 3)/(2 − 0) = 2.
D. 4
4 is the rise (7 − 3) by itself; you still have to divide by the run (2 − 0) to get the slope.

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