Question

Find an equation for the line below.A(-6, -3) B(2,-5)

Answer 1

Using Two point formula in getting the equation of the line.

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

x1 = -6

y1 = -3

x2 = 2

y2 = -5

Substitute to the formula :

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

The answer is :

y = -1/4 x - 9/2