Question

Exercise #5: Four points in the plane have coordinates of A
D(7,10). A line is drawn through A and B and a separate
lines AB and CD parallel? Justify your answer.
* A(2,4), B(8,13), C(-3,-5), and
he is drawn through C and D. Are

Answer 1

The lines are parallel

Step-by-step explanation:

Step 1 :

The given 4 points are A(2,4), B(8,13), C(-3,-5),D(7,10)

We need to determine if the lines AB and CD are parallel.

When the slopes of 2 lines are same then the 2 given lines are parallel. Hence we need to find the slopes of the lines passing through the given points

Step 2 :

Slope of line joining AB = (13-4)/(8-2) = 9/6 = 3/2

Slope of line joining CD = (10-(-5))/(7-(-3)) = 15/10 = 3/2

Since the slope of AB is equal to the slope of CD, the  line joining  A and B and the line joining C and D are parallel.