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).

Open in App

Solution

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.

Suggest Corrections

Similar questions

Show that the line joining the points (2,-3) and (-5, 1) is parallel to the line joining the points (7,-1) and (0, 3) and perpendicular to the line joining (4, 5) and (0,-2).

Q. The line joining the points

A (- 2, 3)

and

B (a, 5)

is parallel to the line joining the points

C (0, 5)

and

D (- 2, 1)

. Find the value of

a

Prove that the line joining the points (2, 1) and (1, 2) and the line joining the points (3, 5) and (4, 7) are not parallel. What are the coordinates of their point of intersection?

Q. In what ration does