# How do you write an equation that is perpendicular to y = -1/2x + 2/3, passes through (2,3)?

##### 1 Answer

Nov 13, 2016

#### Explanation:

Given:

Compare to

A straight line graph that is perpendicular to this would have the gradient of

So we know that the line we are looking for is of form:

This has 3 unknowns so we need to change it so that there is only 1 unknown and thus solvable.

We are told that it passes through the point

So we now have