Given:
The two points are (-3,-4) and (4,5).
To find:
The slope of the line that passes through the given points.
Solution:
The slope formula is
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2022/formulas/mathematics/college/bpkoq3bvkesp0enrhm14yweiccwgnbhsww.png)
The line passes through the points (-3,-4) and (4,5). So, the slope of the line is
![m=(5-(-4))/(4-(-3))](https://img.qammunity.org/2022/formulas/mathematics/high-school/rhlsr7xinz5hsz17a18qszv1mzi6duuqyh.png)
![m=(5+4)/(4+3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/bj8vkg1bbqypdw4xbbj9newkdog9r39v9u.png)
![m=(9)/(7)](https://img.qammunity.org/2022/formulas/mathematics/high-school/uiv8h46mkopeyttnkhz3vdxfrkotilpr2x.png)
Therefore, the slope of the given line is
.