Question

Find an equation for the line that passes through the points (-1,-5) and (-5,1)

Answer 1

The equation of line between two points is given as:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

plugging the values into the equation we have:

`\begin{gathered} y-(-5)=(1-(-5))/(-5-(-1))(x-(-1)) \\ y+5=(1+5)/(-5+1)(x+1) \\ y+5=(6)/(-4)(x+1) \\ y+5=-(6)/(4)(x+1) \end{gathered}`

Therefore the equation is:

`y+5=-(3)/(2)(x+1)`