Question

Write the equation of a line perpendicular to the line 3x-4y=24

Answer 1

$3x - 4y = 24 \\ - 4y = - 3x + 24 \\ 4y = 3x - 24 \\ y = \frac{3}{4} x - 6$



$y = \frac{3}{4} x - 6 \\ \frac{3}{4} \: \: turns \: into \: - \frac{4}{3} \\ y = - 1 \frac{1}{3} x + b$
If you have a point on this line you could use it to find b.