You can put this solution on YOUR website! white an equation in slope intercept form of the line that contains the points
S(7,-9) T(8,-7)
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Find the slope, m
m = diffy/diffx = 2/1
m = 2
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Then use either point in y=mx+b
-9 = 2*7+b
b = -23
--> y = 2x-23
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Using determinants:
|x +y 1|
|7 -9 1| = 0
|8 -7 1|
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x(-9+7) - y(7-8) + -49+72 = 0
-2x + y + 23 = 0
y = 2x-23