Question

Find the slope of the given line, if it is defined.The line through the origin and (-4,8)Select the correct choice below and, if necessary, fill in the answer box to complete your choiceO A. The slope equals(Simplify your answer.)B. The slope is undefined

Answer 1

The slope of a line is defined by the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Then, we need to select two points, but since they are already given we use (-4,8) and (0,0)

$\begin{gathered} m=\frac{8-0}{-4-0} \\ m=\frac{8}{-4} \\ m=-2 \end{gathered}$

The slope of the line is equal to -2.