Question

Determine (a) the slope of the line parallel to the line whose slope is m=2 and (b) the slope of the line perpendicular to the line whose slope is m=2.

A. ______
B. The slope is undefined.

Answer 1

(b)
`\displaystyle -(1)/(2) = m`

(a)
`\displaystyle 2 = m`

Explanation:

Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], whereas Parallel Lines have SIMILAR RATE OF CHANGES [SLOPES].

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