# How do you find the line that is perpendicular to #y=2/3x+1# and passes through (0, 5)?

##### 2 Answers

#### Explanation:

Perpendicular lines have opposite reciprocal slope,

The given equation is a linear equation,

Where

To find a line that is perpendicular to the given equation, use the opposite reciprocal slope and point and solve using the point-slope formula

Distribute the

Add

And now you can see the slope is the opposite reciprocal of the original equation

#### Explanation:

If lines are perpendicular, one slope is the negative reciprocal of the other.

(Their product is -1)

If

So we have the slope of the line perpendicular to the one given.

The point

This is also known as 'c'

The equation of a line is

We have