What is the slope of a line that is perpendicular to the line 2y – 3x = 8? –3

Answer 1

Hi Raymond,

"Negative inverse" should be negative reciprocal (or negative multiplicative inverse).

Answer 2

2y -3x = 8

solve for y

2y =3x + 8

y = (3/2)x + 4

the line has slope = 3/2 = the coefficient of the x term when the equation is solved for y

the perpendicular line has slope = negative inverse. take 3/2, change its sign and flip it upside down to get -2/3

the perpendicular lines are y=(-2/3)x + b where b is any real number