Question

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Answer 1

We conclude that the slope of the line that is perpendicular to
`y=3x+6` will be: -1/3

Explanation:

Given the equation

`y=3x+6`

Comparing with the slope-intercept form

`y=mx+b`

Here, m is the slope and b is the y-intercept.

so

`y=3x+6`

Here the slope of line = m = 3

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -1/3

Therefore, we conclude that the slope of the line that is perpendicular to
`y=3x+6` will be: -1/3