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Consider the line y = -1/4x + 7

- what is the slope parallel to this line?
- What is the slope of a line perpendicular to this line

User PoVa
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2 Answers

6 votes

Answer: The slope is -1

Explanation:

User Jli
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3 votes

Answer:

Parallel: -1/4 Perpendicular: 4

Explanation:

1. Parallel lines have the same slope. The line has a slope of -1/4 because it is following the formula y = mx+b where m is the slope. Thus, the slope would remain -1/4.

2. Perpendicular lines have the opposite reciprocal for the slope. To reciprocate flip the fraction first (-1/4 ---> -4). Then, add/get rid of the negative sign if it was there before. (-4 ----> 4). Thus, the slope would be 4.

Hope this helped :)

User Pmor
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