Q:

(30 POINTS ON THE LINE!) I need this now pls! 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 20 to positive 20 in increments of 4 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 16, negative 4, and 0, 0, and 16, 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to negative 8, negative 2 labeled as A, one leg is from 0, 0 to 0, negative 2, and the second leg is from 0, negative 2 to negative 8, negative 2. Another shaded right triangle is formed with the hypotenuse from negative 8, negative 2 to negative 12, negative 3 labeled as B, one leg is from negative 8, negative 2 to negative 8, negative 3, and the second leg is from negative 12, negative 3 to negative 8, negative 3.Which statement about the slope of the line is true?A. The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.B. The slope from point O to point A is 4 times the slope of the line from point A to point B.C. It is 4 throughout the line.D. It is fraction 1 over 4 throughout the line.

Accepted Solution

A:
The ratio of the length of the triangle leg in the y-direction to the length of the leg in the x-direction is 2/8 = 1/4 for both triangles. The appropriate choice is
Β  D. It is 1/4 throughout the line.