231k views
2 votes
Which is the equation of a line perpendicular to the line with the equation y= 1/4x + 2

User Ramganesh
by
4.8k points

2 Answers

3 votes

Answer: y= 1/4x - 1/2

Step-by-step explanation: I just took the test and got it correct.

User StateLess
by
5.1k points
6 votes

Answer:

Any line with slope -4. Example: y = -4x + 3

Explanation:

A perpendicular line has a negative reciprocal slope. If the slope is 4, then the perpendicular slope is -1/4. Using the slope intercept form y=mx+b, the line y=1/4x+2 has the slope 1/4. The negative reciprocal slope is the opposite value and the fraction flipped. The perpendicular slope is -4. Any line with -4 slope is perpendicular. Example: y = -4x +3

User Lateasha
by
4.7k points