To find the slope of the line that passes through (9, 10) and (6, 12)
We will use the formula;
[tex]\text{slope =}\frac{y_2-y_1}{x_2-x_1}[/tex]From the points given;
x₁ = 9 y₁=10
x₂ = 6 y₂=12
Substitute the values into the formula;
[tex]\text{slope =}\frac{12-10}{6\text{ - 9}}[/tex]Evaluate;
[tex]\text{slope =- }\frac{2}{3}[/tex]