Answer:
The slope of the line is;
![3](https://img.qammunity.org/2023/formulas/mathematics/college/8chu5ttn7pbn22os4jpmgusjicxxbd8h.png)
Step-by-step explanation:
We want to find the slope of the line passing through the points;
![(4,4)\text{ and (6,10)}](https://img.qammunity.org/2023/formulas/mathematics/college/520llv8krnqsavzoffp7zerp56uee8aoqj.png)
Recall that the slope m of a line can be calculated using the formula;
![m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/college/qcwvs4hqqwwac8pb7570w0p2cei13pwdmn.png)
substituting the given coordinates;
![\begin{gathered} m=(10-4)/(6-4) \\ m=(6)/(2) \\ m=3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/znwmnndwvpcsp4sfqqkmnnuzv824ib89v9.png)
Therefore, the slope of the line is;
![3](https://img.qammunity.org/2023/formulas/mathematics/college/8chu5ttn7pbn22os4jpmgusjicxxbd8h.png)