Question

Find the equation of the line passing through (2,7) and having y intercept on 3.

Answer 1

The y-intercept of the line is 3.
So, the coordinates of point are (0,3) and the coordinates of other point are (2,7).
Equation in two point form is given below:

$\frac{x-x_1}{x_1-x_2}=\frac{y-y_1}{y_1-y_2}$

$$\begin{gathered} \Rightarrow \frac{x-0}{0-2}=\frac{y-3}{3-7} \\ \Rightarrow \frac{x}{-2}=\frac{y-3}{-4} \\ \Rightarrow \frac{x}{1}=\frac{y-3}{2} \\ \Rightarrow 2x=y-3 \\ \Rightarrow 2x-y+3=0 \end{gathered}$$