To determine the equation of a linear function given a [tex]$y$[/tex]-intercept and a slope, we use the general form of a linear equation:
[tex]\[ y = mx + b \][/tex]
Here, [tex]\( m \)[/tex] represents the slope and [tex]\( b \)[/tex] represents the y-intercept.
Given:
- The y-intercept ([tex]\( b \)[/tex]) is -12.
- The slope ([tex]\( m \)[/tex]) is [tex]\( \frac{3}{2} \)[/tex].
Substituting the given values into the general form, we get:
[tex]\[ y = \frac{3}{2}x - 12 \][/tex]
Thus, the correct equation of the line is:
A. [tex]\( y = \frac{3}{2}x - 12 \)[/tex]
