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Suppose the equation of the line is y = mx + c where m and c need to be determined.

The slope of the line = (difference in y-coordinates of the two given points)/(difference in x-coordinates of the two given points)

= (-6 - 2)/(0 - 4) = -8/-4 = 2

So m = 2 ie the equation of the line becomes: y = 2x + c where c still needs to be determined.

The point (0, -6) is on the line. That is, when x = 0, y = -6.

Substituting in the equation, -6 = 2*0 + c so that c = -6

and the equation of the line is y = 2x - 6

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Q: Can you find an equation of the line containing the given pair of points 0 -6 and 4 2?
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