# How do you write an equation of a line passing through (2, 3), perpendicular to #y = (3/2)x − 4#?

##### 1 Answer

We find the line with negative reciprocal slope through the point, which is

#### Explanation:

When we multiply perpendicular slopes together we get

We can read off the slope of

We fit the constant to the line.

So the equation we seek is

I prefer not to deal with the slope if I can avoid it. I like first writing the line in standard form:

Then the perpendiculars are gotten by swapping the coefficients on