Answer:
[tex]y = \frac{-3}{4}x + \frac{3}{2}[/tex]
Step-by-step explanation:
Because is a line the equation is of the form
[tex]y = mx + b[/tex]
Since both lines are parallel the slope of both equations are the same
[tex]y = \frac{-3}{2}x + b[/tex]
Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.
[tex]3 = (\frac{3}{4}) 2 + b[/tex]
[tex]3 = \frac{3}{2} + b[/tex]
[tex]3 - \frac{3}{2} = b[/tex]
[tex]\frac{3}{2} = b[/tex]
So the final equation is equal to
[tex]y = \frac{-3}{4}x + \frac{3}{2}[/tex]
