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1 year ago

How does the diagram show that the slope between any

1 answer:

4 0

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.

<h3>What is the slope of a graph?</h3>

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:

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