Respuesta :

Let:

[tex]\begin{gathered} (x1,y1)=(-3,4) \\ (x2,y2)=(0,2) \end{gathered}[/tex]

The slope of the line is given by:

[tex]m=\frac{y2-y1}{x2-x1}=\frac{2-4}{0-(-3)}=-\frac{2}{3}[/tex]

The y-intercept of the line, we can see it from the graph and is:

[tex]b=2[/tex]

The slope-intercept form is given by:

[tex]\begin{gathered} y=mx+b \\ so\colon \\ y=-\frac{2}{3}x+2 \end{gathered}[/tex]