# What is the equation of the line that passes through #(-1,1) # and is perpendicular to the line that passes through the following points: #(-2,4),(-12,21) #?

##### 2 Answers

#### Explanation:

Consider the two points

The straight line between them has the gradient:

The gradient of the perpendicular line is

So we have

So by substitution we get:

**Equation of line is**

#### Explanation:

The slope of the line passing through

is

The product of slopes of the pependicular lines is

line is

is

Equation of line is