Question

Find an equation for the line that’s passes through the following points shown in the picture. ( Please fins answer in timely answer very brief explaination :) )

Answer 1

The general equation of line passing through the points (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 thgrough the point (-6,-1) and (2,5).

`\begin{gathered} y-(-1)=(5-(-1))/(2-(-6))(x-(-6)) \\ y+1=(6)/(8)(x+6) \\ y+1=(3)/(4)x+(9)/(2) \\ y=(3)/(4)x+(9)/(2)-1 \\ =(3)/(4)x+(7)/(2) \end{gathered}`

So equation of line is y = 3/4x + 7/2.