Find the distance from the point (0, 1) to the line 4x+3y+2 = 0.
Answer and explanation
Correct answer: D. 1
- Step 1: Use d = |Ax0 + By0 + C| / sqrt(A^2 + B^2).
- Step 2: Numerator: |4(0) + 3(1) + (2)| = 5. Denominator: sqrt(4^2 + 3^2) = 5.
- Step 3: d = 1.
Answer
1.
Why not the others: '5/7' divides by A + B instead of sqrt(A^2 + B^2); '1/5' divides by A^2 + B^2 without taking the square root; '3' mishandles the absolute value in the numerator.
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