Question

The slope of a line is -3. Find the slope of a line that is perpendicular to this line.

Answer 1

Answer:

The slope of the line perpendicular to the given line is 1/3

Step-by-step explanation:

If the two lines are perpendicular, their product of the slopes are equal to -1

m1 X m2 = -1

-3 X m2 = -1

m2 = -1/3 = 3

Answer 2

$\mathtt{ \huge{ \fbox{SOLUTION : }}}$

Given ,

Slope of a line (m2) = -3

It is known that , if two lines are perpendicular to each other then ,

It is known that , if two lines are perpendicular to each other then ,Their product of slope is -1 i.e

$\mathtt{ \fbox{m_{1} \times m_{2} = - 1}}$

So,

$\sf \hookrightarrow - 3 \times m_{2} = - 1 \\ \\\sf \hookrightarrow m_{2} = \frac{1}{3}$

Hence , 1/3 is the required slope of the line which is perpendicular to the the -3 slope