8. The graph below shows a dashed line on a coordinate plane. A right triangle is drawn so that the side opposite of the right angle lies on the dashed line.
(5, -3)
(13,-9)
Which right triangle has a side opposite the right angle with a slope that would lie on the
dashed line shown in the graph? (NOTE: Triangles may not be drawn to scale or proper
orientation)

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):

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).

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

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).

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

The answer is Option 2