Let's analyze each of the points in relation to the number line described.
-
Point: Negative \( \frac{7}{8} \)
This point is slightly less than -0.875. If the number line goes from -2 to 2 in increments of 1, and is divided into 8 equal parts, then each part represents \( \frac{1}{8} \). The point "1 mark to the right of negative 1" is located at: \[ -1 + \frac{1}{8} = -\frac{8}{8} + \frac{1}{8} = -\frac{7}{8} \] Therefore, this point is plotted correctly. -
Point: Negative \( \frac{1}{2} \)
This point is exactly -0.5. Halfway between 0 and 1 on the number line would actually represent +0.5, not -0.5. To find -0.5 on the number line, if we move halfway between -1 and 0: \[ -1 + \frac{1}{2} = -\frac{2}{2} + \frac{1}{2} = -\frac{1}{2} \] This means that -0.5 should be halfway between -1 and 0, not between 0 and 1. Thus, this point is not plotted correctly. -
Point: Negative \( \frac{1}{4} \)
This point is -0.25. On the number line divided into 8 equal parts, each part is \( \frac{1}{8} \). The point "2 spaces to the right of negative 1" corresponds to: \[ -1 + \frac{2}{8} = -1 + \frac{1}{4} = -\frac{4}{4} + \frac{1}{4} = -\frac{3}{4} \] Thus, -0.25 should be plotted between -1 and 0, but here it ends up being -0.75. Therefore, this point is not plotted correctly.
In conclusion, only the following point is plotted correctly:
- Negative \( \frac{7}{8} \)
1 answer