Question

4. Line t and AECA and AFDB are shown on the coordinate plane

Which statements are true? Select all that apply.
A. The slope of AC is equal to the slope of BC.
B. The slope of AC is equal to the slope of BD.
C. The slope of AC is equal to the slope of line t.
D. The slope of line t is equal to
E. The slope of line t is equal to
F. The slope of line t is equal to

Answer 1

A, B, C, E

Explanation:

It can be seen from the figure that the points A, B, C and D, all are lying in the line t.

=> So that it can be concluded that AC and BC and BD have the slopes which are equal to each other and also equal to the slop of line t

So that all answer A, B, C are true.

In addition, as FD is parallel with x - axis, so that slope of the line t is equal to tan angel FDB

As FDB is the right triangle with BFD = 90°

=> tan angel FDB = FB/ FD (tan of an acute angel in the right triangle = opposite side/ adjacent side)

=> Slope of the line t is equal to FB/ FD

=> Answer E is true