Question

Determine if the statement is true or false. Choose the correct answer and justification. If one vertex of a slope triangle is at (0, 0), the other vertex on the line will be the point that represents the simplified unit rate or slope. Multiple choice question. cross out A) false; The other vertex on the line will represent the simplified unit rate if the x-coordinate is 1. If the x-coordinate is not 1, then the ratio of vertical length to horizontal length will need to be simplified. cross out B) false; When one vertex of a slope triangle is at (0, 0), the other vertex on the line will form a right angle with the line. The slope then needs to be measured. cross out C) true; There is only one slope triangle which can be drawn from the origin, and the other vertex on the line will be the unit rate. cross out D) true; For any slope triangle, the vertex on the line is the unit rate.

Answer 1

The only correct statement is that when one vertex of a slope triangle is at the origin (0, 0), the other vertex on the line will always represent the simplified unit rate or slope.

This statement is true. When one vertex of a slope triangle is at the origin (0, 0), the other vertex on the line will always represent the simplified unit rate or slope. This is because the slope is defined as the change in y divided by the change in x, and when the x-coordinate is 0, the change in x is 0. Therefore, the slope is simply the change in y, which is represented by the y-coordinate of the other vertex on the line.

Options A, B, and D are incorrect. Option A states that the other vertex will be the unit rate if the x-coordinate is 1, which is not always the case. Option B states that the other vertex will form a right angle with the line, which is not always the case. Option D states that for any slope triangle, the vertex on the line is the unit rate, which is not always the case.

Therefore, the only correct statement is that when one vertex of a slope triangle is at the origin (0, 0), the other vertex on the line will always represent the simplified unit rate or slope.