Respuesta :

Answer:

The slope of the line is;

[tex]3[/tex]

Explanation:

We want to find the slope of the line passing through the points;

[tex](4,4)\text{ and (6,10)}[/tex]

Recall that the slope m of a line can be calculated using the formula;

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

substituting the given coordinates;

[tex]\begin{gathered} m=\frac{10-4}{6-4} \\ m=\frac{6}{2} \\ m=3 \end{gathered}[/tex]

Therefore, the slope of the line is;

[tex]3[/tex]