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 30 to positive 30 in increments of 6 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 24, negative 4, and 0, 0, and 24, 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to 12, 2 labeled as A, one leg is from 0, 0 to 12,0 and the second leg is from 12,0 to 12, 2. Another shaded right triangle is formed with the hypotenuse from 12, 2 and 18, 3 labeled as B, one leg is from 12, 2 to 18, 2 and the second leg is from 18, 2 to 18, 3.
Which statement about the slope of the line is true? (1 point)

Group of answer choices

It is 6 throughout the line.

The slope from point O to point A is fraction 1 over 6 times the slope of the line from point A to point B.

It is fraction 1 over 6 throughout the line.

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

Question

05-01-2022
Mathematics

Answered

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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 30 to positive 30 in increments of 6 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 24, negative 4, and 0, 0, and 24, 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to 12, 2 labeled as A, one leg is from 0, 0 to 12,0 and the second leg is from 12,0 to 12, 2. Another shaded right triangle is formed with the hypotenuse from 12, 2 and 18, 3 labeled as B, one leg is from 12, 2 to 18, 2 and the second leg is from 18, 2 to 18, 3.
Which statement about the slope of the line is true? (1 point)

Group of answer choices

It is 6 throughout the line.

The slope from point O to point A is fraction 1 over 6 times the slope of the line from point A to point B.

It is fraction 1 over 6 throughout the line.

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

Sagot :

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ec18842 ec18842 · Answer 1 · 2022-01-10T13:14:26-05:00

hope this helps

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, 4, and 0, 0, and 16, negative 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to negative 8, 2 labeled as A, one leg is from 0, 0 to negative 8, 0, and the second leg is from negative 8, 0 to negative 8, 2. Another shaded right triangle is formed with the hypotenuse from negative 8, 2 to negative 12, 3 labeled as B, one leg is from negative 8, 2 to negative 12, 2, and the second leg is from negative 12, 2 to negative 12, 3.

Which statement about the slope of the line is true?

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.

The slope from point O to point A is 4 times the slope of the line from point A to point B.

It is fraction negative 1 over 4 throughout the line.

It is −4 throughout the line

Sagot :

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