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Question

If the slope of a line joining A(2,x)B(3,7) is 1 then find x.

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Solution

As we know that the slope of a line joining the points (x1,y1) and (x2,y2) is given as-
m=y2y1x2x1
Therefore,
Slope of line joining the points A(2,x) and B(3,7) is-
mAB=7x32=1(Given)
7x5=1
7x=5x=7+5=12

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