When findin the equation of a line in the form
[tex]y=mx+b[/tex]in which m represents the slope of the line and b the y-intercept.
Since the slope is giving the data missing is the y intercept which can be found using the point given
[tex]y=-\frac{3}{2}x+b[/tex]replace the point to find b
[tex]\begin{gathered} 10=-\frac{3}{2}(-4)+b \\ 10=6+b \\ 10-6=b \\ 4=b \end{gathered}[/tex]The equation of the line is
[tex]y=-\frac{3}{2}x+4[/tex]