Question

] A line passing through the points (2,7) and (3,6) is parallel to the line joining (9, a) and
(11,3). Find 'a'.
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Answer 1

Step-by-step explanation:

We know that parallel lines have equal slope.

$\therefore \: \frac{7 - 6}{2 - 3} = \frac{a - 3}{9 - 11} \\ \\ \therefore \: \frac{1}{ - 1} = \frac{a - 3}{ - 2} \\ \\ \therefore \: - 1 = \frac{a - 3}{ - 2} \\ \\ \therefore \: - 1 \times ( - 2) = a - 3 \\ \\ \therefore \: 2 = a - 3 \\ \\ \therefore \: 2 + 3 = a \\ \\ \huge \purple{ \boxed{\therefore \: a = 5 }}$