Question

3 – 312 Write an equation of the line containing the given points.

Answer 1

The general equation of line passing through points (x_1,y_1) and (x_2,y_2) is,

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

Determine the equation of line for the points (10,2) and (2,-2).

$\begin{gathered} y-2=\frac{-2-2}{2-10}(x-10) \\ y-2=\frac{-4}{-8}(x-10) \\ y-2=\frac{1}{2}(x-10) \\ y=\frac{1}{2}x-5+2 \\ y=\frac{1}{2}x-3 \end{gathered}$

So equation of line is y = 1/2x - 3.