# 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 m_{1} and m_{2} be the slopes of two lines then:

m_{1} × m_{2} = -1 ….(1)

Let m_{1} = 1/3.

From equation (1)

⇒ 1/3 × m_{2} = -1

m_{2} = -3

Hence, the required slope is -3.

## 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.