Answer
The student is wrong.
The student forgot to leave the negative sign on the nominator, resulting to a positive slope.
The correct slope is $-\frac{3}{2}$.
Work Step by Step
The slope of the line can be calculated with the formula:
d
$m=\frac{y_2-y_1}{x_2-x_1}$, where the two points on the line are $(x_1,y_1)$ and $(x_2,y_2)$
Here, the calculation should be:
$m=\dfrac{-4-2}{1-(-3)}=\dfrac{-6}{4}=-\dfrac{3}{2}$
Thus, the student is wrong as he/she forgot to leave the negative sign on the nominator, resulting in a positive slope.
