Question

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

Answer 1

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=(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=((0-10))/((4-0))=(-10)/(4) \\ By\text{ simplification,} \\ m=-(5)/(2) \end{gathered}`

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

`-(5)/(2)`