Question

The line passing through the points (2,3) and (4,5)

Answer 1

The equation of the line passing through the origin, i.e., (2, 3) and the point (4, 5) using the equation in two point form is

$$\begin{gathered} \frac{x-x_1}{x_1-x_2}=\frac{y-y_1}{y_1-y_2} \\ \Rightarrow \frac{x-2}{2-4}=\frac{y-3}{3-5} \\ \Rightarrow \frac{x-2}{-2}=\frac{y-3}{-2} \\ \Rightarrow \frac{x-2}{1}=\frac{y-3}{1} \\ \Rightarrow x-2=y-3 \\ \Rightarrow x-y+1=0 \end{gathered}$$