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What is the slope of a line perpendicular to the line whose equation is 2x - y = -8

User Wajdi Hh
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1 Answer

2 votes

Answer:

The slope of the line perpendicular to the given line is -1/2

Step-by-step explanation:

Given the line:

2x - y = -8

We need to write this equation in the form:

y = mx + c

so that we can identify the slope, m.

Multiply both sides of the equation by -1

y - 2x = 8

Add 2x to both sides

y = 2x + 8

The slope here is 2

The slope of the line perpendicular to the given line is the negative reciprocal of the slope of the given line.

The negative reciprocal of 2 is -1/2

This is the slope we need to find.

User Coen Damen
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7.8k points

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