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First, convert the equation to Slope-Intercept Form (y = mx + b) m = slope

b = y-intercept

3x - 4y = 8

Subtract 3x from both sides of the equation.

-4y = -3x + 8

Divide the entire equation by -4.

y = 3/4x -2

Now that we know that the slope is 3/4, we can convert it to its perpendicular slope. The perpendicular slope is the opposite reciprocal of the original slope. In order to find it, we flip the fraction and change the sign.

Original Slope: 3/4

Perpendicular Slope: -4/3

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Q: What is 3x - 4y equals 8 perpendicular to?
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