SOLUTION: Find the equation of a line passing through the pair of points. Write the equation in slope intercept form. The points are (2,1) and (10,-31)

Question 509185: Find the equation of a line passing through the pair of points. Write the equation in slope intercept form. The points are (2,1) and (10,-31)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the equation of a line passing through the pair of points. Write the equation in slope intercept form. The points are (2,1) and (10,-31)
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The hard way:
Find the slope, m = diffy/diffx = (-31-1)/(10-2) = -32/8
m = -4
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Use y = mx+b and either point to find b
1 = -4*2 + b
b = 9
--> y = -4x + 9
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Easier way:
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|+x +y +1|
|+2 +1 +1| = 0
|10 -31 1|
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x(1+31) - y(2-10) + (-62-10) = 0
32x + 8y = 72
4x + y = 9
y = -4x + 9
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