show that the line through the points A (5,6) and (2,3) is parallel to the line through the points (9,-2) and (6,-5)
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Parallel line have equal slopes.
Slope of a line passing through (x₁,y₁) and (x₂,y₂) is (y₂ - y₁)/(x₂ - x₁)
Here slope of line passing through (5,6) and (2,3) is (3-6)/(2-5) = 1
Similarly,
slope of line passing through (9,-2) and (6,-5) = (-5+2)/(6-9) = 1
It is clear that both the lines have equal slopes.
Hence the lines are parallel to each other.
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Given above in the pic
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