Respuesta :
Notice that the given line is in slope-intercept form, therefore its slope is 2.
Now, we know that parallel lines have the same slope, using the slope-point formula for the equation of a line we get:
[tex]y-11=2(x-1)\text{.}[/tex]Taking the above to its slope-intercept form we get:
[tex]\begin{gathered} y-11=2x-2, \\ y-11+11=2x-2+11, \\ y=2x+9. \end{gathered}[/tex]Answer:
[tex]y=2x+9.[/tex]