Answer:
y = 3x + 3
Explanation:
If two lines are parallel to each other, they have the same slope.
The first line is y = 3x + 6. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (2, 9). Plug in the x and y values into the x and y of the standard equation.
9 = 3(2) + b
To find b, multiply the slope and the input of x (2)
9 = 6 + b
Now, subtract 6 from both sides to isolate b.
3 = b
Plug this into your standard equation.
y = 3x + 3
This equation is parallel to your given equation (y = 3x + 6) and contains point (2, 9)
Hope this helps!