# In the coordinate plane, n passes through the points (-1,4) and (5,2) and m passes through the points (2,1) and (4,y). For what value of y is n perpendicular to m?

##### 1 Answer

Jul 4, 2017

#### Answer:

See the explanation below.

#### Explanation:

If two lines are perpendicular to each other, their slopes are opposite reciprocals.

To solve this problem, find the slope of line

Slope of line

The slope of line

Using the slope formula, substitute 3 in for the slope and calculate the value of