Answer
[tex]3x+2y=-28[/tex]Explanation
A linear equation can be written in the following form:
[tex]y=mx+b[/tex]where m is the slope and b the y-intercept.
As we are already given the slope, then we get the equation:
[tex]y=-\frac{3}{2}x+b[/tex]Replacing the point given we can calculate b:
[tex]-2=-\frac{3}{2}(-8)+b[/tex][tex]b=-2-12=-14[/tex]Then the equation is:
[tex]y=-\frac{3}{2}x-14[/tex]Then, we would have to get the form Ax+By=C , however, as we do not want fractions, we have to multiply the equation times two:
[tex]2y=-3x-28[/tex]Rearranging the function we get:
[tex]3x+2y=-28[/tex]