plot the point on the line with the x-coordinate x = -9

Substituting x=-9 in the given equation we get:
[tex]-4(-9)+y-38=0.[/tex]Simplifying the above result, we get:
[tex]\begin{gathered} 36+y-38=0, \\ y-2=0. \end{gathered}[/tex]Adding 2 to both sides of the equation, we get:
[tex]\begin{gathered} y-2+2=0+2, \\ y=2. \end{gathered}[/tex]Therefore, the coordinates of the point with x=-9 are:
[tex](-9,2)\text{.}[/tex]Answer: