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Question 806431: using ordered pairs find the missing coordinate to make the slope true
(x,3) and (19,-17)
Slope = -2
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! Get the equation in point-slope form: y - y1 = m(x - x1)
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Use the given slope -2 and the given point (19,-17), like so:
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y - (-17) = (-2)(x - 19)
Simplify, like so:
y + 17 = -2x + 38
y = -2x + 21
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Now plug-in the y-coordinate (3) of the point with missing x-coordinate (x,3), and solve the equation for x, like so:
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3 = -2x + 21
2x = 21 - 3
2x = 18
Answer:
x = 9
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To check the answer, calculate the slope from the two points, like so:
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m = (-17 - 3) / (19 - 9)
m = -20 / 10
m = -2
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