6 x - 9 y = -1?

Question

Consider the line .

What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Answer 1

I find the easier way to do problems of this sort is to put the equation in slope-intercept form (y=mx+b). To do this, get the y by itself on the right.

6x - 9y = -1
-9y = -6x - 1 (subtract 6x from both sides)
y = (2/3) x + (1/9) (divide both sides by -9)

The coefficient of the x (2/3 in this case) is the slop of the line that you are given. A line parallel to this line would have the same slope (i.e., 2/3). A line perpendicular would have the negative reciprocal slope (flip the fraction, and take the negative...in this case, -3/2)

Hope that helps.

Answer 2

remember that you can rewrite equations into slope intercept form. or Y=mx+b so yours would be y= - 6/9x -1/9
from there you can see stuff cuz the slop will always equal M
in this case slope (M) is - 6/9 and (b is the y intercept or point where y = 0 but thats unimportant to this question I guess)

and to find a perpendicular slope then get the negative reciprocal of the original slope. so 9/6

Answer 3

6x - 9y = -1
-9y = -6x - 1
9y = 6x + 1
y = 6/9x + 1/9

Perpendicular Slope = -9/6 = -3/2
Parallel Slope = 6/9 = 2/3

Answer 4

6x - 9y = -1
-9y = -6x - 1
9y = 6x + 1
y = 6/9x + 1/9

Perpendicular Slope = -9/6 = -3/2
Parallel Slope = 6/9 = 2/3

hope i was able to help you....its always my pleasure to help others in need!