Question

8. The graph below shows a dashed line on a coordinate plane. A right triangle is drawn so

Answer 1

Answer:

Option 2

Step-by-step explanation:

First, find the slope of the line of the graph using the points given as (5, -3) and (13, -9):

$slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-9 -(-3)}{13 - 5} = \frac{-6}{8} = -\frac{3}{4}$

Any of the triangle in the options given, whose opp side has the same slope value of -¾, is the triangle we are looking for.

Option 1: slope between the points (0, 2) and (3, -2).

$slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 2}{3 - 0} = \frac{-4}{3}$

Option 2: slope between the point (-7, 6) and (-3, 3).

$slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 6}{-3 -(-7)} = \frac{-3}{4}$

Option 2 has the same slope as the one given in the graph. This is the answer.

Option 3: slope between the points (5, -1) and (2, -5).

$slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-1)}{2 - 5} = \frac{-4}{-3} = \frac{4}{3}$

Option 4: slope between the points (2, -7) and (6, -4).

$slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-7)}{6 - 2} = \frac{3}{4} = \frac{3}{4}$

The answer is Option 2