Given the points : ( 0 , 2 ) and ( 1 , -3 )
The general equation of the line is :
[tex]y=m\cdot x+b[/tex]Where m is the slope and b is the y- intercept
the slope of the line is :
[tex]slope=m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-2}{1-0}=\frac{-5}{1}=-5[/tex]Given the point ( 0 , 2 ) which represents the point of y - intercept
So, b = 2 ( the value of y when x = 0 )
So,
[tex]\begin{gathered} m=-5 \\ b=2 \\ \\ y=-5x+2 \end{gathered}[/tex]
