Question

The figure below shows a line graph and two shaded triangles that are suid.5310- 10 -8 -64 -20 2 4 6 8 101-23Which statement about the slope of the line is true? It is -2 throughout the line.lt is - throughout the lineThe slope from point o to point A is one-half times the slope of the line from point A to point B.The slope from point o to point A is two times the slope of the line from point A to point B.

Answer 1

Answer:

The second choice: it is -1/2 through the line

Explanation:

First, let us calculate the slope of the line. Note that points A, B and O lie on the same line, and therefore, the lines they form have the same slope (slope of AB is the same as the slope of BO).

The slope of the line is

$slope=\frac{\Delta y}{\Delta x}=\frac{1-0}{-2-0}=-\frac{1}{2}$

Hence, the slope of the line is -1/2 and therefore the second answer choice is the correct answer!