SOLUTION: Find the equation of the line that contains the points (3,1) and (5,-3) in slope intercept form.

Question 300376: Find the equation of the line that contains the points (3,1) and (5,-3) in slope intercept form.
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
What is the equation, in slope-intercept form, of the line that contains the points (-1,... (answered by ewatrrr)

Write an equation in slope-intercept form for the line that contains each pair of points: (answered by solver91311)

. Find the equation, in slope-intercept form, of the line that passes through the points (answered by tutorcecilia)

what is the slope-intercept form of the line that contains the following points: (1, �3)... (answered by checkley71)

Find the equation, in slope-intercept form, of the line that passes through the points... (answered by josmiceli)

Find the equation, in slope-intercept form, of the line that passes through the points... (answered by Mathtut)

Find the equation, in slope-intercept form, of the line that passes through the points... (answered by jim_thompson5910)