Answer:
C
Step-by-step explanation:
The equation of the line in the slope-intercept form is: [tex]y = 4 - \frac{3x}{2}[/tex].
The slope of the parallel line is the same: [tex]m = - \frac{3}{2}[/tex].
So, the equation of the parallel line is: [tex]m = - \frac{3x}{2} + a[/tex].
To find a, we use the fact that the line should pass through the given point: [tex]-3 = (-\frac{3}{2})*(4)+a[/tex].
Thus, [tex]a=3[/tex].
Therefore, the equation of the line is: [tex]y = 3 -\frac{3x}{2}[/tex].
