Question

How does the diagram show that the slope between any
two points on a line is the same?
OA)
It does not show this because the triangles are not
the same size.
OB)
The triangles have the same vertical heights and
horizontal lengths.
OC)
The distance between A and B is the same as the
distance between B and C.
OD)
The triangles are similar so the ratios of their vertical
heights to their horizontal lengths are equivalent.

Answer 1

The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.

Option D is correct.

What is the slope of a graph?

The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).

$\mathbf{slope = \dfrac{rise}{run}}$

$\mathbf{slope = \dfrac{\Delta y}{\Delta x}}$

$\mathbf{slope = \dfrac{ y_2-y_1}{x_2-x_1}}$

From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.

Learn more about the slope of a graph here:

https://brainly.com/question/19376563

#SPJ1