The value of k for which the three points (1,8), (2,11), and (3,k) be on the same line will be on the same line is 14.
The slope is the rate of change.It can also be defined as the rise over run.
According to the given question for what value of k will the three points (1,8), (2,11), and (3,k) be on the same line.
If three three points are on the same line they are co-linear and the slope of the points (1,8), (2,11) and (2,11), (3,k) will be same.
∴ (11-8)/(2-1) = (k-11)/(3/2)
11-8 = k - 11
k = 11 + 11 - 8
k = 22 - 8
k = 14.
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