Question

Consider the line y=6×-7

what is the slope of a line parallel to this line?
what is the slope of a line perpendicular to this line?​

Answer 1

The slope of a line parallel to this line will be: 6

The slope of the perpendicular line will be: -1/6

Explanation:

We know the slope-intercept form

`y=mx+b`

Here,

• m is the slope

• b is the y-intercept

Given the equation

`y=6x-7`

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:

`(-1)/(6)\:\:`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(b)=-(a)/(b)`

`=-(1)/(6)`

Therefore, the slope of the perpendicular line will be: -1/6