# Line n passes through points (6,5) and (0, 1). What is the y-intercept of line k, if line k is perpendicular to line n and passes through the point (2,4)?

##### 1 Answer

Dec 8, 2017

#### Answer:

7 is the y-intercept of line k

#### Explanation:

First, let's find the slope for line n.

The slope of line n is 2/3. That means the slope of line k, which is perpendicular to line n, is the negative reciprocal of 2/3, or -3/2. So the equation we have so far is:

To calculate b or the y-intercept, just plug in (2,4) into the equation.

So the y-intercept is 7