Question

A line has a slope of 1/5 and includes the point (5,1). What's the second point?

Answer 1

The slope is

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

Given that the slope is 1/5, then

$\begin{gathered} y_2-y_1=1 \\ x_2-x_1=5 \end{gathered}$

Where,

$\begin{gathered} x_1=5 \\ y_1=1 \end{gathered}$

Then,

$\begin{gathered} y_2-1=1\rightarrow y_2=1+1=2 \\ x_2-5=5\rightarrow x_2=5+5=10 \end{gathered}$

Hence, the second point is (10,2).