Question

Simplify the slope of AC

Answer 1

`Slope\:\: \overline{AC} =1`

Explanation:

A is on the same point on the x-axis as B and the same point on the y-axis as D

• Therefore, the coordinate of A is (0,0)

C is on the same point on the x-axis as D and the same point on the y-axis as B.

• Therefore, the coordinate of C is (a,a)

We are to determine the slope of the line joining A to C.

`Slope, m =(y_2-y_1)/(x_2-x_1) \\(x_1,y_1)=(0,0),(x_2,y_2)=(a,a)\\$Therefore, Slope of AC$\\m =(a-0)/(a-0)\\=(a)/(a)\\\\=1`

`Slope\:\: \overline{AC} =1`