Mathematics: What is the slope of a line that is perpendicular to the graph of y=1/6x+8 ? Select one: -6 6 1/6 -1/6

The answer is 32x+8 ———— x+2...

What is the slope of a line that is perpendicular

Ответ:

ariellewallenst3393

05.02.2022

Mathematics

A. -6

Step-by-step explanation:

The slope of the line that is perpendicular to the graph y = ⅙x + 8, is a negative reciprocal of the slope of the graph, y = ⅙x + 8.

What this means is that, if you multiply the slope of y = ⅙x + 8, and the slope of the line perpendicular to it, you would have -1. That is m_1 * m_2 = -1 .

Where,

m_1 = slope of y = ⅙x + 8.

m_2 = slope of the line perdendicular to y = ⅙x + 8.

The slope of y = ⅙x + 8 is ⅙.

Substitute m_1 = ⅙ into m_1 * m_2 = -1 , to find the slope (m_2) of the line that is perpendicular to the graph of y = ⅙x + 8.

$\frac{1}{6} * m_2 = -1$

Multiply both sides by 6

$\frac{1}{6} * m_2 * 6 = -1*6$

1*m_2 = -6

m_2 = -6

The slope of the line that is perpendicular to the graph of y = ⅙x + 8 is -6.

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What is the slope of a line that is perpendicular to the graph of y=1/6x+8 ?
Select one:
-6

6

1/6

-1/6

Ответ:

Ответ:

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