A straight line passes through the points (5, j) and (j, 6). The slope of the line is 2/3 . What is the value of j
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Step-by-step explanation:
Given, X1 =5, Y1 =j, X2 =j, Y2 =6
Slope =(Y2 - Y1 )/(X2 - X1)
==> 2/3 = (6 - j)/(j - 5)
==> 2(j - 5) = 3(6 - j)
==> 2j - 10 = 18 - 3j
==> 2j + 3j = 18 +10
==> 5j = 28
==> j = 28/5
==> j = 5.6 Ans.
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