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

A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 6, negative 3, and 0, 0, and 6, 3. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to 4, 2 labeled A, one leg is from 0, 0 to 4,0, and the second leg is from 4,0 to 4, 2. Another shaded right triangle is formed with the hypotenuse is from 4, 2 to 6, 3 labeled B, one leg is from 4, 2 to 6, 2, and the second leg is from 6, 2 to 6, 3.

Which statement about the slope of the line is true?

It is fraction 1 over 2 throughout the line.

It is 2 throughout the line.

The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.

The slope from point O to point A is 2 times the slope of the line from point A to point B.

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anonymouspanda630 anonymouspanda630 · Answer 1 · 2021-12-16T19:12:56+01:00

Answer:Slope of a line can be found using the equation (y2-y1)/(x2-x1)

so we can take the points and use the eqaution

(y2-y1) (4-0)= 4

(x2-x1) (8-0)= 8

so the slope is equal to 4/8

4/8 simplifies to 1/2

so the slope is 1/2x

and because the ordered pair goes through the origin (0,0) it doesn't have a y intercept

so the slope is simply 1/2x

so your answer is B (y= fraction 1 over 2x)

Step-by-step explanation:

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