Answer:
Slope of a parallel line: [tex]\frac{1}{3}[/tex]
Slope of a perpendicular line: -3
Step-by-step explanation:
A line parallel to another line has THE SAME slope.
Here, 6x + 9y = 1
let us make it y = mx + b so it is easier
6x + 9y = 1
subtract 6x from both sides
9y = 6x + 1
divide by 9
y = [tex]\frac{6}{9}x + \frac{1}{9}[/tex]
y = [tex]\frac{1}{3}x + \frac{1}{9}[/tex]
1/3 here is the slope
so a parallel line must also be 1/3!
A perpendicular line is the EXACT opposite, opposite number and opposite sign.
so,
1/3 flipped is 3, and opposite sign, -3!
That's all I can say for now! Hope this helps and a thank won't hurt! :)
