Question

Please Help!!!

The figure shows a line graph and two shaded triangles that are similar:



Which statement about the slope of the line is true? (5 points)
Select one:
a. It is fraction 1 over 2 throughout the line.

b. It is 2 throughout the line.

c. The slope from point O to point A is fraction 1 over 2 time the slope of the line from
point A to point B.

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

Answer 1

The slope is 1/2 throughout the entire line.

Looking at the first triangle, the rise is 2 and the run is 4. That gives us a slope of 2/4 = 1/2.

For the second triangle, the rise is 1 and the slope is 2. This gives us a slope of 1/2.

Any linear function will have the same slope throughout the entire line.