Equation of a line (point/perpendicular line)
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Question

Find the equation of the line passsing through the point P $\left(\frac{2}{3},-4\right)$ and parallel to the line $x-3= 0$

The slope of the line $x-3= 0$ is given by $m = \infty \,$
The second line is parallel to this line. So, they have the same slopes $m=\infty \,$
The second line passes through the point $\left(\frac{2}{3},-4\right)$ and has slope $m=\infty \,$
Since the slope is undefined, the equation of the line is $x=\frac{2}{3}$