Question

Determine whether the graphs of y=-2/3x and 3x-2y=6 are perpendicular lines

Answer 1

perpendicular lines have opposite reciprocal slopes so both eqn need to be in slope-int form (y=mx+b) to determine slope (m-coefficient of x)
in first equation m=-2/3

Answer 2

3x-2y=6
2y=3x-6
y=3/2 x - 3

Answer 3

m=-2/3 m=3/2 they are opposite reciprocals (flip numerator and denominator) so yes the lines are perpendicular

Answer 4

Thank you so much!

Answer 5

welcome!