Step-by-step explanation:
To find the slope we must use the following formula:
![m=(y2-y1)/(x2-x1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/wt3vklmulg2853jxzclws9uvfaplhmpgv7.png)
Now we must identify at the given points which correspond to x and which to y; and then we must replace them in the slope formula;
Points: ( 5, -3) and (10, -6)
x1 y1 x2 y2
Now we replace;
![\begin{gathered} m=(y2-y1)/(x2-x1) \\ m=(-6-(-3))/(10-5) \\ m=(-3)/(5) \\ \text{ANSWER: The slope is m=}(-3)/(5) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/o1vsjejsfsy1g2qy6ipkf2y6kmn0hl9kaw.png)