Question

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

Which statement about the slope of the line is true?

A-It is 3 throughout the line
B-It is 1/3 throughout the line
C- The slope from point O to point A is fraction 1/3 time the slope of the line from point A to point B
D-The slope from point O to point A is 3 times the slope of the line from point A to point B.

Answer 1

B-It is one third throughout the line

I got it correct on my test :)

Answer 2

we know that
the equation for calculating the slope of a line is
m=(y2-y1)/(x2-x1)

look for any two points on the graph
let
A(0,0)
B(3,1)
m=(1-0)/(3-0)------> m=1/3

the slope is 1/3 throughout the line

therefore
the answer is the option
B-It is 1/3 throughout the line