The problem asks us to plot the given numbers on a number line. The given numbers are $-\frac{7}{4}, -3, 2.5, \frac{3}{2}, -1.2, \frac{1}{5}, \sqrt{7}, -\sqrt{6}$.

1. Problem Description

The problem asks us to plot the given numbers on a number line. The given numbers are $-\frac{7}{4}, -3, 2.5, \frac{3}{2}, -1.2, \frac{1}{5}, \sqrt{7}, -\sqrt{6}$.

2. Solution Steps

First, convert each number to decimal form to easily locate it on the number line.

$-\frac{7}{4} = -1.75$

$-3 = -3$

$2.5 = 2.5$

$\frac{3}{2} = 1.5$

$-1.2 = -1.2$

$\frac{1}{5} = 0.2$

$\sqrt{7} \approx 2.646$

$-\sqrt{6} \approx -2.449$

Now, we have the decimal approximations:

$-1.75, -3, 2.5, 1.5, -1.2, 0.2, 2.646, -2.449$

Plotting these points on a number line would involve marking each of these values appropriately. A rough sketch would have the points ordered from left to right as follows:

$-3, -2.449, -1.75, -1.2, 0.2, 1.5, 2.5, 2.646$

So the original numbers would be ordered as:

$-3, -\sqrt{6}, -\frac{7}{4}, -1.2, \frac{1}{5}, \frac{3}{2}, 2.5, \sqrt{7}$

3. Final Answer

The numbers plotted on a number line, from left to right, would appear as:

$-3, -\sqrt{6}, -\frac{7}{4}, -1.2, \frac{1}{5}, \frac{3}{2}, 2.5, \sqrt{7}$

(A visual number line would be required to *graph* them.)