[tex]\text{Given that,}\\\\(x_1,y_1) = (0,1) ~~~ \text{and}~~~ (x_2,y_2) = (4,-1)\\\\\\\text{Slope,}~~ m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-1 -1}{4-0} = - \dfrac 24 = -\dfrac 12\\\\\\\text{Equation with given points,}\\\\\\y -y_1 = m(x-x_1)\\\\\implies y -1 = -\dfrac 12(x - 0)\\\\\implies y = -\dfrac 12x +1\\\\\text{This is the slope - intercept form (y=mx+b)}[/tex]
