SOLUTION: Find an equation of the line containing the given pair of points: (-2 ,3) and (-4, 6). Show your work please.

Question 291733: Find an equation of the line containing the given pair of points: (-2 ,3) and
(-4, 6). Show your work please.

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 MoralLoophole@aol.com
RELATED QUESTIONS
Find an equation of the line containing the given pair of points (-2, -9) and (-6, -7).... (answered by checkley71)

Find an equation of the line containing the given pair of points (1/4, -1/2) and (3/4,... (answered by jim_thompson5910)

Find an equation of the line containing the given pair of points: (-2 ,3) and (-4, 6). (answered by Alan3354)

show me how to find an equation of the line containing the given pair of (-2, 3) and (-4, (answered by Fombitz)

Find an equation of the line containing the given pair of points. Use function notation... (answered by Alan3354)

Find an equation of the line containing the given pair of points. (-5, -9) and (-3, -2) (answered by checkley77)

Find an equation of the line containing the given pair of points (1/4, -1/2) and (3/4,... (answered by stanbon)

Find an equation of the line containing the given pair of points. (1/4, -1/2) and... (answered by oberobic)

Find an equation of the line containing the given pair of points (-7,-3) and... (answered by jim_thompson5910)