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

The correct option is B.

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=(y_2-y_1)/(x_2-x_1)`

Th slope of given line is

`m=(0-1)/(0-(-2))`

`m=(-1)/(2)`

The slope of the given line is
`m=(-1)/(2)`.

Therefore the correct option is B.