Answer:
Slope of the parrelel line: -2/3x
Slope of the perpendicular line: 3/2x
Step-by-step explanation:
Lets first put this into slope intercept form:
y = mx + b
9y = -6x - 1
y = -2/3x = 1/9
So our slope is -2/3x
If we have a line parrelel to this, it means it has the exact same slope, but a different b value.
So the slope of this parellel line would also be -2/3x
Next we need to find the slope of the perpendicular line.
This is the exact opposite of our slope.
To find this, lets first understand our slope.
Our slope is the change in y over the change in x:
Δy/Δx
A perpendicular line is going to be the flipped, and negative of this.
You can think of a perpendicular line being:
-Δx/Δy
Since our slope is -2/3x
Our perpendicular line would be 3/2x
So our answer for the second question is 3/2x
Useful things to remember:
- Slope of a line: Δy/Δx
- Slope of a parrelel line: Δy/Δx
- Slope of a perpendicular line: -Δx/Δy
Hope this helps!
