The equation of a line passing through a point X having its coordinates to be (x₁, y₂) is given as

Taking a nonzero number for the slope m and a point in the plane,

Thus, the equation of the line becomes
![\begin{gathered} y-2=5(x-3) \\ \text{open the brackets} \\ y-2=5x-15 \\ make\text{ y the subject of the formula} \\ y=5x-15+2 \\ \Rightarrow y=5x-13 \end{gathered}]()
Hence, the equation of the line with the chosen slope (5) passing through the chosen point (3,2) is evaluated to be
