Question

Simplify the slope of AC

Answer 1

Answer:

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

Step-by-step 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.

$Slope, m =\dfrac{y_2-y_1}{x_2-x_1} \\(x_1,y_1)=(0,0),(x_2,y_2)=(a,a)\\ Therefore, Slope of AC \\m =\dfrac{a-0}{a-0}\\=\dfrac{a}{a}\\\\=1$

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