#### Answer

$$1$$

#### Work Step by Step

The slope $m$ of a line is given by
$$m=\frac{y_2-y_1}{x_2-x_1}$$
where $(x_1,y_1)$ and $(x_2,y_2)$ are two different points on the line and $x_1\neq x_2$.
For a line through the points $(-3,7)$ and $(2,12)$
$$m=\frac{12-7}{2-(-3)}=\frac{5}{5}=1$$