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

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