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 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

Answer 1

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 = (y_2-y_1)/(x_2-x_1) = (3-2)/(6-4) =(1)/(2)`

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

Answer 2

Let's find the slope!

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


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