Hey!
A perpendicular line has the slope as the negative reciprocal of the given line, so therefore the new lines slope would be...
y = 6/5x + b
Now to find the y-intercept you will have to just plug in the given point/coordinate in the equation above and solve for b...
11 = 6/5(0) = b
11 = b
Put the given slope and y-intercept in a slope intercept form equation (slope intercept form is y = mx + b)...
y = 6/5x + 11
This new equation is:
1) perpendicular to the given equation
2) in slope intercept form
Answer: y = 6/5x + 11
Hope this Helped!
~A
