The equation of the line passing through the points \((x_1,y_1)\) and \((x_2,y_2)\) is
\(\frac{x-x_1}{y-y_1} =\frac{x_2-x_1}{y_2-y_1}\). Here \(\frac{y_1-y_1}{x_2-x_1}\) is the slope of the line.
Substituting numerical values,
\(\frac{x-2}{y+3} =\frac{4-2}{2+3} \\
\frac{x-2}{y+3} =\frac{2}{5} \\
5x-10=2y+6\\
5x-2y-16=0\)
The equation of the line in standard form is \(5x-2y-16=0\).
