Choose the two points that look easiest to work with. Which pair gives you simple numbers for the change in $x$?

When you compute $y_2 - y_1$, write the entire first y-value and the entire second y-value in parentheses, especially the one with $n+92$, so you correctly distribute the minus sign.

After you substitute the $y$-values, combine like terms in the numerator. What happens to the $n$ terms when you subtract?

In Desmos, type something like n = 0 (or any other simple number). This lets you turn the expressions in the table into actual coordinates, but the slope you find will be the same for any value of $n$.

Using your chosen value of $n$, write down two corresponding points, for example $(-3, n+92)$ and $(0, n)$ become numeric points. Then in Desmos, type the expression (y2 - y1)/(x2 - x1) using those numbers (for instance, (n - (n+92))/(0 - (-3)) with your chosen $n$).

Look at the numeric result of the expression you entered; that value is the slope of the line. Choose the answer option that matches this number.

For a line that passes through two points $(x_1, y_1)$ and $(x_2, y_2)$, the slope $m$ is given by:

You can choose any two points from the table because the relationship is linear.

Pick the points $(-3,\, n+92)$ and $(0,\, n)$, because their x-values are close together and the arithmetic is easy.

Let $(x_1, y_1) = (-3,\, n+92)$ and $(x_2, y_2) = (0,\, n)$.

Now plug these into the slope formula:

Simplify the numerator $n - (n+92)$ by distributing the negative sign:

• $n - (n+92) = n - n - 92$

The denominator $0 - (-3)$ becomes:

• $0 - (-3) = 3$

So the slope expression becomes:

Notice that $n - n = 0$, so the numerator simplifies to just $-92$:

So, the slope of the line is $-92/3$, which corresponds to answer choice D.