Question

The equations of two lines are x - 3y = 6 and y = 3x + 2. Determine if the lines are parallel, perpendicular or neither.

Answer 1

Perp.

Answer 2

put both lines in slope intercept form. do you know how to do that?

Answer 3

perpendicular. Solve 1st equation for y and you get y = (x/3) -2. Shows that the lines are perp given that your 2nd equation has value +2.

Answer 4

the coefficient in front of x in both equations are the slopes.

Answer 5

if they are the same coefficients, the lines are parallel meaning they have the same slope.

Answer 6

if the coefficients of x are the negative reciprocals of each other for both equations, the lines are perpendicular.

Answer 7

The equations are not parallel or perpendicular