Question

How do you find the perpendicular line of an equation $?$

Answer 1

Finding the perpendicular line of an equation:

If two lines are perpendicular to each other, then they meet at right angles (i.e. $90$ degrees)

To check whether the two lines are perpendicular, multiply their slopes.

If the product of the slope is equal to$-1,$ then the given lines are perpendicular.

If $“m_1”$ is the slope of one line and $“m_2”$is the slope of perpendicular line , then

$m_{1}x{m}_2=-1$

Equation of perpendicular line through coordinate $\left(x_{1,}{y}_{1_{}}\right)$

$y-y_1=m_2(x-x_1)$

For example, consider two line equations

$y=2x+1\dots \left(1\right)$

$y=-0.5x+4\dots \left(2\right)$

The slope of the first equation is $2$

The slope of the second equation is $-0.5$

Now, multiply two slope values,

$2x(-0.5)=-1$

Thus, the given equations are perpendicular to each other.

Hence, in this way we can find the perpendicular line of an equation.