SOLUTION: 1. write the equation to the line with these points (3,-4),(3,-2)? 2. how to find the equation to the points of (1,4),(2,2)?

Question 621782: 1. write the equation to the line with these points (3,-4),(3,-2)?
2. how to find the equation to the points of (1,4),(2,2)?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1. write the equation to the line with these points (3,-4),(3,-2)?
x is the same --> x = 3
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2. how to find the equation to the points of (1,4),(2,2)?
Do it like this:
i need to find the equation of the line that passes through each pair of points and write the answer in standard form
(-2,-4), (1,-1)
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Find the slope, m
m = diffy/diffx = (-4 + 1)/(-2 -1) = -3/-3 = 1
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Use y = mx + b and either point to find b
-1 = 1*1 + b
b = -2
-----
y = x - 2
x - y = 2
==================
Using determinants:
|+x +y 1|
|-2 -4 1| = 0
|+1 -1 1|
-------
x*(-4+1) - y*(-2-1) + 1*(2+4) = 0
-3x + 3y = -6
x - y = 2
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