Question

Find the slope of the line that is parallel to the line that passes through the following pair of points: (-16.-16) and (1.-14)

Answer 1

Let's begin by identifying key information given to us:

For the line, we have:

$(x,y)=(-16,-16),(1,-14)$

We proceed to calculate the slope of the line, we have:

$\begin{gathered} m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-14-(-16)_{}}{1-(-16)}=\frac{-14+16}{1+16} \\ m=\frac{2}{17} \end{gathered}$

Parallel lines have the same slope. Hence, the slope of the parallel line is 2/17