determine the slope of each of the following lines. assume the dots are on integer coordinates

SOLUTION
Given the question in the image the following are the solution steps to answer the question.
STEP 1: Write the formula for find the slope of a line
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{where m is the slope} \end{gathered}[/tex]STEP 2: Write the given coordinates
[tex]\begin{gathered} \text{From the image above, the coordinates are given as:} \\ (x_{1,}y_1)=(0,10) \\ (x_2,y_2)=(4,0)_{} \end{gathered}[/tex]STEP 3: Calculate the slope of the line using the coordinates
[tex]\begin{gathered} \text{By substitution of the values into the slope formula in step 1, we have;} \\ m=\frac{(0-10)}{(4-0)}=\frac{-10}{4} \\ By\text{ simplification,} \\ m=-\frac{5}{2} \end{gathered}[/tex]Hence, the slope of the given line for question a is:
[tex]-\frac{5}{2}[/tex]