Equation of a line (point/perpendicular line)

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Find the equation of the line passsing through the point P $\left(-4,\frac{5}{9}\right)$ and parallel to the line $y-3= 0$

**Answer**

The slope of the line $y-3= 0$ is given by $m = 0$

The second line is parallel to this line. So, they have the same slopes $m=0$

The second line passes through the point $\left(-4,\frac{5}{9}\right)$ and has slope $m=0$

Since the slope is 0, the equation of the line is $y=\frac{5}{9}$