Question

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

Answer 1

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

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{where m is the slope} \end{gathered}$

STEP 2: Write the given coordinates

$\begin{gathered} \text{From the image above, the coordinates are given as:} \\ (x_{1,}y_1)=(0,10) \\ (x_2,y_2)=(4,0)_{} \end{gathered}$

STEP 3: Calculate the slope of the line using the coordinates

$\begin{gathered} \text{By substitution of the values into the slope formula in step 1, we have;} \\ m=\frac{(0-10)}{(4-0)}=\frac{-10}{4} \\ By\text{ simplification,} \\ m=-\frac{5}{2} \end{gathered}$

Hence, the slope of the given line for question a is:

$-\frac{5}{2}$