Question 120693
since it is parallel to y=x+6 it must have the same slope.
therefore the slope equals 1
since it must pass through the point (4,5) you now now a y value and an x value
y=5 and x=4

you then take the general equation of a line y=mx+b and plug in what you know.
y=5, x=4 and m=1
5=4+b

now solve for b

5-4=4-4+b
1=b

now you have your slope and your y-intercept so you can write your equation

y=x+1