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Question 574557: Find an equation of the line in slope-intercept form that passes
through each given set of points. Show all your work.
(–2, 2) and (1, 5)
(1, 7) and (3, 2)
(–3, 1) and (8, 1)
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Find an equation of the line in slope-intercept form that passes
through each given set of points. Show all your work.
(–2, 2) and (1, 5)
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Find the slope, m
m = diffy/diffx = (2-5)/(-2-1)
m = 1
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Use y = mx + b and either point to find b
5 = 1*1 + b
b = 4
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--> y = x + 4
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You can use determinants:
|+x y 1|
|-2 2 1| = 0
|+1 5 1|
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x*(2-5) - y*(-2-1) + 1*(-10-2) = 0
-3x + 3y = 12
x - y = -4
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Do these the same way.
(1, 7) and (3, 2)
(–3, 1) and (8, 1)
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