The line of the equation y = mx + c passes through the points (1, 4) and ( 2, 5). Determine the values of m and c.

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Solution

As line passes through $(1, 4)$ & $(2, 5)$
$\Rightarrow 4 = m + c . . . (1)$ [(2)-(1)]
& $5 = 2 m + c . . . (2)$
$\Rightarrow c = 3, m = 1$

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