What is the slope of a line that is parallel to the line whose equation is y=45x−3?

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03-08-2022
Mathematics

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What is the slope of a line that is parallel to the line whose equation is y=45x−3?

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tutorconsortium33 tutorconsortium33 · Answer 1 · 2022-08-10T08:20:32-04:00

The slope is (B) -5/4.

What is a slope?

The slope is the inclination of a line relative to the horizontal as a numerical value.
The slope of any line, ray, or line segment in analytic geometry is the ratio of the vertical to the horizontal distance between any two points on it ("slope equals rise over run").

To find the slope:

We're going to assume that we don't mean, y = 45x -3; which has a perpendicular line with a slope of -1/45.
Rather, we're going to assume that we mean, y = 4/5x -3; so that the slope of the perpendicular line is -5/4.
Similarly, we're going to assume that the answer choices are supposed to represent fractions so that the above slope matches choice B.
If the slope of a line is m, the slope of the perpendicular line is -1/m.
The reciprocal of a fraction is the fraction that has the numerator and denominator swapped, -1/(4/5) = -5/4.

Therefore, the slope is (B) -5/4.