Answer:
The slope of a line parallel to this line will be: 6
The slope of the perpendicular line will be: -1/6
Step-by-step explanation:
We know the slope-intercept form
[tex]y=mx+b[/tex]
Here,
Given the equation
[tex]y=6x-7[/tex]
Thus, the slope of the line is: 6
The slope of a line parallel to the line:
We have already determined that the slope of the line is: 6
- We know that the parallel lines have the same slope.
Thus, the slope of a line parallel to this line will be: 6
The slope of a line perpendicular to the line:
We have already determined that the slope of the line is: 6
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be:
[tex]\frac{-1}{6}\:\:[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{1}{6}[/tex]
Therefore, the slope of the perpendicular line will be: -1/6
