Determine the distance from the point (3, 4) to the line 2x + 3y - 12 = 0.
Practice Questions
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Determine the distance from the point (3, 4) to the line 2x + 3y - 12 = 0.
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Using the formula for distance from a point to a line, d = |Ax1 + By1 + C| / sqrt(A^2 + B^2), we find d = |2(3) + 3(4) - 12| / sqrt(2^2 + 3^2) = 3.
Questions & Step-by-step Solutions
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Q
Q: Determine the distance from the point (3, 4) to the line 2x + 3y - 12 = 0.
Solution: Using the formula for distance from a point to a line, d = |Ax1 + By1 + C| / sqrt(A^2 + B^2), we find d = |2(3) + 3(4) - 12| / sqrt(2^2 + 3^2) = 3.
