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

Question

saifoo.khan · Answer

Perp.

anonymous · Answer

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

anonymous · Answer

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.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

The equations are not parallel or perpendicular