Answer:
y = 3x + 3
Explanation:
When two lines are parallel, this means they have the same slope!
So, first, we are going to take the slope from the equation y = 3x - 11 and use it in our new equation
SLOPE = 3
Next, we use the point-slope formula to make a new equation for the coordinate (4,9) ⇒ x = 4 and y = 9
Point-slope equation = y - y1 = m ( x - x1 )
Let's plug in and solve!
y - 9 = 3 ( x - 4 )
Simplify to turn it into INTERCEPT FORM !
y - 9 = 3x - 12
y = 3x + 3
This is the final answer!
I hope I helped! Let me know if you have any questions about my answer! :)