Question

use the point slope form to write an equation of a line that passes through (3, -4) and is perpendicular to 2x-3y=5

Answer 1

3x+2y=1

Answer 2

find m of 2x-3y=5 (rearrange equation in standard form)

y=(2/3)x-(5/3) so m=2/3

Answer 3

solve the first equation in point slope form 2x-3y=5 where y = 2/3 x -5/3
Perpendicular slope you take the reciprocal and change the sign so your knew slope is m=-3/2

Answer 4

perperndicular lines have reciprocal gradient to that of the given since m=-2/3
then
new equation will be
y=(2/3)x-5/3

Answer 5

flip your slope remainder

Answer 6

the sign that is