Step-by-step explanation:
Given;
We are given two points which are shown below;
![\begin{gathered} (6,4) \\ (4,-1) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/94bdoftl09qp92pwcj870okb8tr6y4gf1v.png)
Required;
We are required to calculate the slope.
Step-by-step solution;
To calculate the slope given two points, we shall use the following formula;
![\begin{gathered} Slope: \\ m=(y_2-y_1)/(x_2-x_1) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ddvxmq3xyqi71d5sx9klv45rbjsnefjhhf.png)
Where the variables are;
![\begin{gathered} (x_1,y_1)=(6,4) \\ (x_2,y_2)=(4,-1) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/eqiebj012mhbdv1s7a12mvnib6vjloxwk0.png)
We can now substitute these values and solve;
![m=(-1-4)/(4-6)](https://img.qammunity.org/2023/formulas/mathematics/college/2kksl3vet2csvwrukaiwk2oy0wd9r2tohx.png)
![m=(-5)/(-2)](https://img.qammunity.org/2023/formulas/mathematics/college/as6sptp2mjpf41rffz6ekq5tgtvtqvemt8.png)
![m=(5)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/le4mqatw47b7pc6tqewz3jwt5ersh7inc5.png)
Therefore.
ANSWER:
![m=(5)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/le4mqatw47b7pc6tqewz3jwt5ersh7inc5.png)