Question

Consider the line y=6×-7

Answer 1

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

$y=mx+b$

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:

$\frac{-1}{6}\:\:$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$=-\frac{1}{6}$

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