SOLUTION: Find an equation of a line that is perpendicular to the line that passes through the points (0,1) & (5, 6)?

Question 299525: Find an equation of a line that is perpendicular to the line that passes through the points (0,1) & (5, 6)?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Given 2 points example.
Find the equation of the line thru the points (2,1) and (3,5)
---------------------
This is a 2 step process. First find the slope of the line thru the points.
slope, m = diffy/diffx
m = (5-1)/(3-2)
m = 4
---------
Now use y = mx + b with either point to find b, the y-intercept.
y = mx + b
5 = 4*3 + b
b = -7
-------
y = mx + b
y = 4x - 7 is the answer.
------------------------
Another approach using determinants:
|x y 1|
|2 1 1| = 0
|3 5 1|
--------
x(1-5) - y(2-3) + 1(10-3) = 0
-4x + y + 7 = 0
y = 4x - 7
---------
For further assistance, or to check your work, email me via the thank you note
or at Moral Loophole@aol.com
RELATED QUESTIONS
Find an equation of a straight line that passes through point points (3,5) and is... (answered by Fombitz)

Find an equation of the line that passes through the point (5, 4) and is perpendicular to (answered by scott8148)

Find an equation of the line that passes through the point (5, 3) and is perpendicular to (answered by TimothyLamb)

Write an equation of the line that passes through (8,-5) and is perpendicular to the... (answered by lwsshak3)

Find an equation of a line that passes through points (6,5) and is perpendicular to... (answered by robertb)

find the equation of the line that is perpendicular to the line that passes through the... (answered by ReadingBoosters)

a) Find the intersection point for equations 5x + 3y = 12 and 10x � 2y = 8. b) Find... (answered by nant_87)

what is an equation of a line that passes through the points (-7,0) and... (answered by Alan3354,josmiceli)

Whicj equations represent a line that is perpendicular to the line that passes through... (answered by fractalier)