Question

20 points The triangle ABC is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers. What is slope of line AB? (first write the ordered pairs of A and B on paper) IO A А 8 7 6 IN 5 4 3 2 1 B 1 3 2 3 4 5 6 7 8 9 10 O 2.5 -1.6 -6.5 4.5 W pe

Answer 1

$\text{slope = -1}\frac{3}{5}\text{ = -1.6 (option B)}$

Explanation:

we need to determine the coordinates of A and B from the diagram

A (x, y) = (3, 9)

B (x, y) = (8, 1)

Slope formula:

$m\text{ = }\frac{y_2-y_1}{x_2-x_1}$$\begin{gathered} x_1=3,y_1=9,x_2=8,y_2\text{ = 1} \\ m\text{ = }\frac{1-9}{8-3} \end{gathered}$$\begin{gathered} m\text{ = slope = -8/5} \\ \text{slope = -1}\frac{3}{5} \\ \text{slope = -1.6 (option B)} \end{gathered}$