Geometry and Trigonometry practice question

Answer: 3/2 or 1.5

Slope = (y₂ − y₁)/(x₂ − x₁) = (10 − 1)/(4 − (−2)) = 9/6 = 3/2. A common trap is subtracting in inconsistent orders across numerator and denominator, which flips the sign — keep the same point first in both.

Common wrong answers

If you answered -3/2

You subtracted in opposite orders top and bottom (like 1 − 10 over 4 − (−2)); keep the same point first in both: (10 − 1)/(4 − (−2)) = 9/6 = 3/2.

If you answered 2/3

You computed run over rise; slope is rise over run, so it's 9/6 = 3/2.

If you answered 9/2

You treated the run as 4 − 2 = 2, but the first x is −2, so the run is 4 − (−2) = 6, giving 9/6 = 3/2.

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