What is the slope of a line that is perpendicular to the line shown on the graph?

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01-07-2022
Mathematics

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What is the slope of a line that is perpendicular to the line shown on the graph?

Sagot :

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LC447 LC447 · Answer 1 · 2022-07-01T23:40:14-04:00

Answer:

4

Step-by-step explanation:

The slope of the line in the image is -1/4. I found that by starting at the point (0,2) and moving down 1, and right 4. This is because slope is rise over run, meaning that you move up/down and then right/left. You can see that the line is sloping downwards, so it is negative.

Perpendicular lines have a slope that is the opposite reciprocal, meaning the sign is opposite and the numerator and denominator are flipped (reciprocal). The current slope is -1/4, so the reciprocal is -4/1 (or just -4). Then just make the negative positive and you get 4.

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