Answer:
The equation of the line is;
[tex]y=-\frac{4}{3}x-2[/tex]Explanation:
The slope intercept form of line equation can be written in the form;
[tex]y=mx+b[/tex]where;
m = slope
b = y-intercept.
for the given question;
[tex]\begin{gathered} \text{slope m =}-\frac{4}{3} \\ y-\text{intercept b = -2} \end{gathered}[/tex]substituting the values into the equation above, we have;
[tex]y=-\frac{4}{3}x-2[/tex]Therefore, the equation of the line is;
[tex]y=-\frac{4}{3}x-2[/tex]