ANSWER
[tex]y = 5x + 6[/tex]
EXPLANATION
The equation of the given line is
[tex]y=5x-7[/tex]
This line is in the slope -intercept form,
[tex]y = mx + c[/tex]
where
[tex]m = 5[/tex]
is the slope.
The line which is parallel to this line and passes through (1,11) also has slope
[tex]m = 5[/tex]
Let the equation of this line be
[tex]y = mx + b[/tex]
This implies
[tex]y = 5x + b[/tex]
We substitute x=1 and y=11 to get
[tex]11 = 5(1) + b[/tex]
[tex]b = 11 - 5 = 6[/tex]
The required equation is
[tex]y = 5x + 6[/tex]
