SOLUTION: Find the slope of the line containing the given pair of points. If the slope is undefined, state so. (1, 2) and (9, 12) please help

Algebra ->  Graphs -> SOLUTION: Find the slope of the line containing the given pair of points. If the slope is undefined, state so. (1, 2) and (9, 12) please help      Log On


   



Question 294130: Find the slope of the line containing the given pair of points. If the slope is undefined, state so.
(1, 2) and (9, 12) please help

Answer by Alan3354(69443) About Me  (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)
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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
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Now use y = mx + b with either point to find b, the y-intercept.
y = mx + b
5 = 4*3 + b
b = -7
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y = mx + b
y = 4x - 7 is the answer.
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Another approach using determinants:
|x y 1|
|2 1 1| = 0
|3 5 1|
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x(1-5) - y(2-3) + 1(10-3) = 0
-4x + y + 7 = 0
y = 4x - 7
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