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 20 to positive 20 in increments of 4 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 16, 4, and 0, 0, and 16, negative 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to negative 8, 2 labeled as A, one leg is from 0, 0 to negative 8, 0, and the second leg is from negative 8, 0 to negative 8, 2. Another shaded right triangle is formed with the hypotenuse from negative 8, 2 to negative 12, 3 labeled as B, one leg is from negative 8, 2 to negative 12, 2, and the second leg is from negative 12, 2 to negative 12, 3.


Which statement about the slope of the line is true?


The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.

The slope from point O to point A is four times the slope of the line from point A to point B.

It is fraction negative 1 over 4 throughout the line.

It is −4 throughout the line.

Answer 1

Answer:second leg is from negative 8, 0 to negative 8, 2. Another shaded right triangle is formed with the hypotenuse from negative 8, 2 to negative 12, 3 labeled as B, one leg is from negative 8, 2 to negative 12, 2, and the second leg is from negative 12, 2 to negative 12, 3.

Step-by-step explanation:

i hope this help

Answer 2

The slope from point O to the point A is same as the slope of the line from point A to point B

The correct option to the problem is (C).

Slope of the line:

The slope of the line gives measure of its steepness and direction

The slope of any straight line having two points $(x_1,y_1) and (x_2,y_2)$ is

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

Also we can find slope of the line is

m = $\frac{rise}{run}$

How to find slope of the line?

Here if we observe and find the given then we have the points of O(0, 0), A(-8, 2),and B(-12, 3)

The slope of the line from point O(0, 0) to point A(-8, 2)

m = $\frac{2-0}{-8-0}=-\frac{1}{4}$

The slope of the line from point A(-8, 2) to point B(-12, 3) is

m' = $\frac{3-2}{-12+8}$

m' = -1/4

Since the slope of line from point O to A and from A to B is same and therefore we can say that the slope of the line is same throughout the line and is -1/4

The final answer is -1/4

Hence the correct option is (C).

Learn more about slope of the line here-

https://brainly.com/question/3493733

#SPJ2