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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 1/2 throughout the line


It is 2 throught the line


The slope from point O to point A is 1/2 time the slope of the line from point A to point B


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

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 1/2 throughout the line It i class=

Verified Answer :

Leader

Point O, Point A, and Point B are all on the same line.

That means that if you find the slope from point O to point A, or point A to point B, or point O to point B, they will all have the same slope.

That eliminates answer choices C and D.

Point A (4,2)
Point B (6,3)

\(Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{3-2}{6-4} =\frac{1}{2}\)

Your final answer is A. It is 1/2 throughout the line

TSO

Let's find the slope!

Point A is (4,2)
Point B is (6,3)

\(\sf{Slope = \frac{y_2-y_1}{x_2-x_1} }\\\\=\frac{2-3}{4-6} =\frac{-1}{-2}=\boxed{\bf{\frac{1}{2}}}\)

The slope is 1/2 throughout the line.

All three points are on the same line so they will all have the same slope.

Your answer is A. It is 1/2 throughout the line.

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