Answer:
y=3x+3
Explanation:
For this we are going to use the equation for point-slope form, which is y-y1=m(x-x1). Since the two lines are parallel, that means they share the same slope of 3 (from y=3x+6). We'll plug in the slope and the two points into our point-slope form equation to get:
(x,y) (4,7)
y-7=3(x-4)
Multiply the 3 to get:
y-7=3x-4
Finally, add 7 to both sides to isolate y
y=3x+3
This is our final answer.