3 years ago

What is the slope of a line perpendicular to the line whose equation is 2x+4y=-642x+4y=−64. Fully simplify your answer.

Mathematics

1 answer:

labwork [276]3 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

Solving the given equation for y, you have ...

2x +4y = -64

4y = -2x -64

y = -1/2x -16

The coefficient of x is the slope of the given line: -1/2. The slope of the perpendicular line is the opposite reciprocal of this:

-1/(-1/2) = 2

The slope of the perpendicular line is 2.

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