Question

The figure below shows a line graph and two shaded triangles that are similar: A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 8, 4, and 0, 0, and 8, negative 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to negative 4, 2 labeled as A, one leg is from 0, 0 to negative 4, 0, and the second leg is from negative 4, 0 to negative 4, 2. Another shaded right triangle is formed with the hypotenuse from negative 4, 2 to negative 6, 3, labeled as B, one leg is from negative 4, 2 to negative 6, 2, and the second leg is between negative 6, 2 to negative 6, 3. Which statement about the slope of the line is true? It is −2 throughout the line. It is fraction negative 1 over 2 throughout the line. The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B. The slope from point O to point A is 2 times the slope of the line from point A to point B.

Answer 1

Answer:

C

Step-by-step explanation:

The answer is C it was on my test

Answer 2

Slopes are simply the average rate of change of a linear function and graph.

The true statement about the slope of the line is (b) it is -1/2 throughout

From the graph, we have a straight line that passes through the hypotenuse of both triangles.

This means that, the slope of the line is uniform/constant through the points it passes through.

The line passes through the following points

$(x,y) = (0,0)\ (-4,2)$

The slope (m) of the line is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$m = \frac{2 - 0}{-4- 0}$

Simplify the expression

$m = \frac{2}{-4}$

Simplify fraction

$m = -\frac{1}{2}$

This means that, the slope of the line is -1/2 throughout

Read more about slopes at:

https://brainly.com/question/18680909