What is the slope of a line perpendicular to the line whose equation is x + 2y = 2. Fully simplify your answer.

Question

asked Feb 1, 2022 108k views

1 Answer

Yurezcv · Answer 1 · 2022-02-07T09:42:54+0000

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Answer:

2

Explanation:

We can solve for y to find the slope of the given line.

x +2y = 2

2y = -x +2 . . . . . subtract x

y = -1/2x +1 . . . . divide by the coefficient of y

The slope is the x-coefficient, -1/2.

Any perpendicular line will have a slope that is the opposite reciprocal of this:

-1/(-1/2) = 2

A perpendicular line will have a slope of 2.