The slope of a line is given. a. Determine the slope of a line parallel to the line with the giv

step 1 given a slope of negative 2, we're going to first find the slope of a line that is parallel to i

The slope of a line is given. a. Determine the slope of a...

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Key Concepts

Negative Reciprocal

The negative reciprocal of a number is found by inverting the number (switching the numerator and denominator in the case of a fraction) and then changing the sign. This concept is key for finding the slope of a line that is perpendicular to a given line, since the product of the slopes of two perpendicular lines is -1.

Perpendicular Lines

Perpendicular lines intersect at a right angle, that is, 90 degrees. In terms of slope, if one line has a given slope, the slope of any line perpendicular to it must be the negative reciprocal of that slope.

Slope

The slope is a measure of the steepness of a line, represented as the ratio of the change in the vertical direction (rise) to the change in the horizontal direction (run). It is a fundamental attribute that determines the line's angle relative to the horizontal axis.

Parallel Lines

Parallel lines are lines in the same plane that never intersect, regardless of how far they are extended. This concept is directly related to slopes because two lines will be parallel if and only if they have exactly the same slope.

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