In general, given two points, one can find the equation of a line using the formula below
[tex]\begin{gathered} (x_1,y_1),(x_2,y_2) \\ y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \end{gathered}[/tex]
Therefore,in our case, since the loine goes through (0,1) and (1,-3),
[tex]\begin{gathered} y-1=\frac{-3-1}{1-0}(x-0) \\ \Rightarrow y-1=-4x \\ \Rightarrow y=-4x+1 \\ \Rightarrow slope=-4,y-intercept=1 \end{gathered}[/tex]
Thus, the answer iare
Equation: y=-4x+1
Slope: -4
y-Intercept: 1
