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What is the slope of a perpendicular line 2x + y = 6

is answer -2

User Arielle
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1 Answer

5 votes

Answer:

The slope that is perpendicular to the line will be:


m_2=+(1)/(2)

Explanation:

Given the equation


2x\:+\:y\:=\:6\:

We know that


y=mx+b is the slope-intercept form of a line where m is the slope and b is the y-intercept.

So, writing the equation in the slope-intercept form


2x\:+\:y\:=\:6\:


\:y=-2x+6

here


m=-2
y=mx+b

As we know that for perpendicular lines, one slope is the negative reciprocal of the other.

Therefore, the slope that is perpendicular to the line will be:


m_2=+(1)/(2)

User Dmitriy Popov
by
8.4k points

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