Answer:
The distance is 1.41 to nearest hundredth.
Step-by-step explanation:
The line y = x + 3 passes through the point (0, 3) on the yaxis.
Find the perpendicular line passing through this point:
y - 3 = -1(x + 0)
y = -x + 3
Now find the point where this line intersects the line y = x + 1:
y = -x + 3
y = x + 1
-x + 3 = x + 1
3 -1 = x + x
2x = 2
x = 1
and y = 2
So this point is (1, 2)
We require the distance between this point and (0, 3)
This = √((3-2)^2 + (0-1)^2) = √2
= 1.4142
