Question

Write the point-slope form of the equation of the line that passes through the polnt (6, -9) and (7,1). Includeyour work

Answer 1

The general equation of line passing through point (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 passing through point (6,-9) and (7,1).

$\begin{gathered} y-(-9)=\frac{1-(-9)}{7-6}(x-6) \\ y+9=\frac{10}{1}(x-6) \\ y=10x-60-9 \\ y=10x-69 \end{gathered}$

So equation of line is y = 10x - 69.