# How do you graph the line through (2,-9) perpendicular to x + 2y = 8?

##### 1 Answer

Jun 27, 2017

#### Answer:

See below.

#### Explanation:

We must first find the slope of the given line.

So, the perpendicular line's slope is the opposite inverse of the given line, or

Since we are given that it passes through a point, we may use point-slope to write out the line.

Point-Slope:

Plugging in,

We can now graph this.

graph{2x-13 [-12.58, 27.42, -8.44, 11.56]}