The slope of the line is [tex]m=-\frac{1}{3}[/tex]
Explanation:
Given that the two points (6,4) and (3,5)
Slope of the line:
The slope of the line can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Now, we shall substitute the coordinates (6,4) and (3,5) in the above formula, we get,
[tex]m=\frac{5-4}{3-6}[/tex]
Simplifying the terms, we have,
[tex]m=-\frac{1}{3}[/tex]
Thus, the slope of the line is [tex]m=-\frac{1}{3}[/tex]