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What is the equation of the line that is perpendicular to 3/4x-2 and passes through the point (12, 7)

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To find a perpendicular line, find the opposite reciprocal of the slope of the line. The opposite reciprocal of 3/4 is -4/3. The slope of the new line will thus be -4/3.

We can determine from a line with this slope that it will pass through (12, 7) with a y-intercept of 23, so:

The equation of the line is -4/3x + 23.

User ShivRaj
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