81.4k views
1 vote
Which is the equation of a line perpendicular to the line with the equation of 4 x - 3 y equals 5​

1 Answer

4 votes

Answer:

Explanation:

Given line is 4x - 3y = 5. Solve this for y to obtain the slope of 4x - 3y = 5:

-3y = -4x + 5, so that y = (-4x + 5) / (-3). The slope of this line is (4/3).

Any line perpendicular to y = (-4x + 5) / (-3), or to y = (4/3) - 5/3, must have the slope -3/4, which is the negative reciprocal of 4/3.

You didn't provide a point through which this perpendicular line passes.

Let's invent such a point: (0, 0).

Then the equation of the line with slope -3/4 passing through (0, 0) is

y - 0 = (-3/4)(x - 0), or simply y = (-3/4)x

User Vibhu Dadhichi
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories