Question

Find the equation for the line through points (0,-1) and (-3,0) use y=Mx+b

Answer 1

first we must find the slope, the formula is

`m=(y_2-y_1)/(x_2-x_1)`

using the values x1=0, y1=-1, x2=-3, y2=0

`m=(0-(-1))/(-3-0)=-(1)/(3)`

then we use the equation

`y-y_1=m(x-x_1)`

and using the values

`\begin{gathered} y+1=(-1)/(3)(x-0) \\ y+1=-(1)/(3)x \end{gathered}`

organizing the equation

`y=-(1)/(3)x-1`

and this is the equation of the line.