Question

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

Answer 1

Answer:

The slope that is perpendicular to the line will be:

$m_2=+\frac{1}{2}$

Step-by-step 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:

$m_2=+\frac{1}{2}$