Question

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

Which statement about the slope of the line is true?

It is fraction 1 over 2 throughout the line.
It is 2 throughout the line.
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.
The slope from point O to point A is two times the slope of the line from point A to point B.

Answer 1

we know that
the slope from point O to point A is equal to the slope from point A to point B
so
find the slope of the line
Let
O the point (0,0)
A the point (4,2)
the slope m=(y2-y1)/(x2-x1)----> m=(2-0)/(4-0)----> m=2/4----> m=1/2

therefore

the answer is
It is fraction 1 over 2 throughout the line.