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What is the slope of a line perpendicular to the line defined by y = 2.5x - 1.7 ?

Question

What is the slope of a line perpendicular to the line defined by y = 2.5x - 1.7 ?

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Solution

The slope of the line defined by y = 2.5x - 1.7 is 2.5.

A line is perpendicular to another if the product of their slopes is -1.

Let's denote the slope of the line perpendicular to the given one as m. We have:

m * 2.5 = -1

Solving for m gives:

m = -1 / 2.5 = -0.4

So, the slope of the line perpendicular to the line defined by y = 2.5x - 1.7 is -0.4.

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