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
Nithin K.
Dec 8, 2017

7 is the y-intercept of line k

Explanation:

First, let's find the slope for line n.
(1-5)/(0-6)
(-4)/-6
2/3=m
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:
y=(-3/2)x+b
To calculate b or the y-intercept, just plug in (2,4) into the equation.
4=(-3/2)(2)+b
4=-3+b
7=b
So the y-intercept is 7

Related questions
See all questions in Equations of Perpendicular Lines
Impact of this question
2026 views around the world
You can reuse this answer
Creative Commons License