Question

A(0, 0), B(7, 2), C(7, 7) and D(2, 7) are the vertices of a quadrilateral. Find the slope of each diagonal.

Answer 1

Given: The points A(0, 0), B(7, 2), C(7, 7) and D(2, 7) are the vertices of a quadrilateral.

Then, AC and BD are the diagonals of the quadrilateral ABCD.

We know that slope of a line = $\frac{y_2-y_1}{x_2-x_1}=\frac{y_1-y_2}{x_1-x_2}$

Now, we have the following:

Slope of diagonal AC = $\frac{0-7}{0-7}=\frac{-7}{-7}=1$

Slope of diagonal BD = $\frac{2-7}{7-2}=-\frac{5}{5}=-1$