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Question 636050: I need assistance writing slope-intercept form of a line between two given points. An example would be writing slope-intercept form of a line through points (1,-3) and (0,4.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! writing slope-intercept form of a line through points (1,-3) and (0,4).
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Find the slope, m
m = diffy/diffx = 7/(-1)
m = -7
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Use y = mx + b and either point to find b, the y-intercept
-3 = -7*1 + b
b = 4
--> y = -7x + 4
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If you know determinants:
|x +y 1|
|1 -3 1| = 0
|0 +4 1|
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(Plus signs for alignment)
x*(-3 - 4) - y*(1 - 0) + 1*(4 - 0) = 0
-7x - y + 4 = 0
y = -7x + 4
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