Question

Which is the equation of a line perpendicular to the line with the equation of 4 x - 3 y equals 5​

Answer 1

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