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=(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)=(1-(-9))/(7-6)(x-6) \\ y+9=(10)/(1)(x-6) \\ y=10x-60-9 \\ y=10x-69 \end{gathered}`

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