Question

The figure below shows a line graph and two shaded triangles that are similar: Image 1 Which statement about the slope of the line is true?
A It is −2 throughout the line.
B It is fraction negative 1 over 2 throughout the line.
C 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.
D The slope from point O to point A is 2 times the slope of the line from point A to point B

Answer 1

The correct answer is B, the slope is -1/2.

This is because m, or slope, in the equation for this line is equal to -1/2.

y = -1/2x

Answer 2

Answer:

The correct option is B.

Step-by-step explanation:

From the given graph it is clear that the line passes through the points (-2,1) and (0,0).

The slope of a straight line remains same for all the points on it.

If a line passes through two points then the slope of the line is

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

Th slope of given line is

$m=\frac{0-1}{0-(-2)}$

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

The slope of the given line is $m=\frac{-1}{2}$.

Therefore the correct option is B.