Respuesta :

Answer:

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

Step-by-step explanation:

Given the equation

[tex]y=3x+6[/tex]

Comparing with the slope-intercept form

[tex]y=mx+b[/tex]

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

so

[tex]y=3x+6[/tex]

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 [tex]y=3x+6[/tex] will be: -1/3

RELAXING NOICE
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