Question

What is the slope of a line of a line perpendicular to y=2x+3

Answer 1

Hello there!

Since perpendicular lines have slopes that are opposite reciprocals, then the answer to your question is -1/2.

Now, what exactly is an opposite reciprocal? It's a number flopped over and made negative:

2

-2

-1/2

Now, parallel lines have the samre slope.

Hence, the slope of the line parallel to the given line is 2; the slope of the line perpendicular to the line is -1/2 (Answer)

Hope it helps.

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Good luck.

Answer 2

-1/2 would be the slope of the perpendicular line because it has to be the negative reciprocal or this slope which is a slope of 2.