Indicate in standard form the equation of the line passing through the given points, writing the answer in the equationbox below.R6, 2), Q8, -4)

Respuesta :

The equation of the line in two point form is given by:

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the points to get:

[tex]\begin{gathered} \frac{y-2}{x-6}=\frac{-4-2}{8-6} \\ \frac{y-2}{x-6}=-3 \\ y-2=-3x+18 \\ 3x+y-20=0 \end{gathered}[/tex]

Hence the equation of the line is 3x+y-20=0