we have the following:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]replacing,
y2 = -1
y1 = 1
x2 = 4
x1 = -3
[tex]m=\frac{-1-1}{4-(-3)}=--\frac{2}{7}[/tex]therefore:
[tex]\begin{gathered} y=m\cdot x+b \\ -1=-\frac{2}{7}(4)+b \\ b=-1+\frac{8}{7} \\ b=\frac{1}{7} \end{gathered}[/tex]Therefore, the equation is:
[tex]y=-\frac{2}{7}x+\frac{1}{7}[/tex]