Respuesta :

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given points

[tex](15,12)\text{ }and\text{ }(5,9)[/tex]

STEP 2: find the slope of the line that passes through the given points

Formula of slope ius given by:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values to get the slope:

[tex]\begin{gathered} \left(x_1,\:y_1\right)=\left(15,\:12\right),\:\left(x_2,\:y_2\right)=\left(5,\:9\right) \\ m=\frac{9-12}{5-15} \\ m=\frac{3}{10} \end{gathered}[/tex]

Hence, the slope is 3/10