If the slope of a line is 1/3, what is the slope of a line perpendicular to this line?

Solution:

The general equation of a line can be given as

y = mx + b

Clearly, the value of the slope is given as m;

hence the value of m gives the slope of any straight line.

There are  4 different types of slopes are Positive slope, Negative slope, zero slope, and undefined Slope

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

If two lines are perpendicular then the product of slope is equal -1.

Let m₁ and m₂ be the slopes of two lines then:

 m₁ × m₂ = -1 ….(1)

Let m₁ = 1/3.

From equation (1)

⇒ 1/3 × m₂ = -1

m₂ = -3

Hence, the required slope is -3.

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If the slope of a line is 1/3, what is the slope of a line perpendicular to this line?

Summary:

If the slope of a line is 1/3,the slope of a line perpendicular to this line is -3. If two lines are perpendicular then the product of slope is equal -1.