Question

with the equation, 3x-4y=16, write an equation of a line that would be perpendicular.

Answer 1

Perpendicular means that the slope must be the negative reciprocal of hte orginal equation:
3x - 4y = 16
-4y = 16 - 3x
y = -4 + 3/4x
So if the slope of the orginal equation is 3/4
then the slope of the perpendicular one would be -4/3

Answer 2

perp slope can be found by:

\[\Huge m_1 * m_2 = -1\]

insert the slope:

\[3/4 * m_2 = -1 \]\[m_2 = -4/3\]