Question

The figure 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 25 to positive 25 in increments of 5 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 20, negative 4, and 0, 0, and 20, 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to 10, 2 labeled as A, one leg is from 0, 0 to 10,0 and the second leg is from 10,0 to 10, 2. Another shaded right triangle is formed with the hypotenuse from 10, 2 to 15, 3 labe

Which statement about the slope of the line is true?

The slope from point O to point A is fraction 1 over 5 times the slope of the line from point A to point B.
The slope from point O to point A is five times the slope of the line from point A to point B.
It is fraction 1 over 5 throughout the line.
It is 5 throughout the line.

Answer 1

@ohyhyh the picture you attached does not match the question you are asking

Answer 2

The formula for slope is:
\(Slope= \large \frac{y_2-y_1}{x_2-x_1}\)

Between O and A, you can plug in the values:
\((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(10,2)\)

This means that
\(Slope~between~O~and~A=\huge \frac{2-0}{10-0}\large=?\)

Simplify

Answer 3

Then you try to find the slope between A and B using the same method:

The Slope between A and B you can find by plugging in these values
\((x_1,y_1)=(10,2)\) and \((x_2,y_2)=(15,3)\)

Answer 4

let me know if you still need help if you come back and see this