Question 187648: Draw a graph of the line passing through the points(-6,-7) and(-3,-5).Does the
point (3,-1)also lie on this line?
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Draw a graph of the line passing through the points(-6,-7) and(-3,-5).Does the
point (3,-1)also lie on this line?
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Algebraically:
slope m = (-5+7)/(-3+6) = 2/3
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y - y1 = m(x - x1)
y - (-5) = (2/3)(x - (-3))
y + 5 = (2/3)x + 2
y = (2/3)x - 3 (this is the equation of the line)
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Testing the point:(3,-1)
y = (2/3)x - 3
-1 = (2/3)3 - 3
-1 = 2 - 3
-1 = -1
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So, YES, the point does lie on the line.
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