To find the slope of the line that passes through points (0, 3) and (4, -2), we can use the formula for the slope of a line:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/78uaqhwt0aws3qfwxigaftpihnmb1gzxtp.png)
We have then:
(0, 3) ---> x1 = 0, y1 = 3
(4, -2) --->x2 = 4, y2 = -2
Therefore:
![m=(-2-3)/(4-0)\Rightarrow m=(-5)/(4)\Rightarrow m=-(5)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/wt1yx2phxrb6cni1mmawybx137u0fwepl4.png)
Then, the slope of the line that passes through points (0, 3) and (4, -2) is m = -5/4.