Question

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

is answer -2

Answer 1

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)`