Question

Show that the line joining the points A(4, 8) and B(5, 5) is parallel to the line joining the points C(2, 4) and D(1, 7).

Answer 1

Slope of the line joining the points A(4, 8) and B(5, 5) will be

\[= \frac{5 - 8}{5 - 4} = \frac{- 3}{1} = - 3\]

Slope of the line joining the points C(2, 4) and D(1, 7) will be

\[= \frac{7 - 4}{1 - 2} = \frac{3}{- 1} = - 3\]

Since the slope of AB = slope of CD
so, the given lines are parallel.