9514 1404 393
Answer:
3√2
Step-by-step explanation:
The distance from point (x, y) to the line ax+by+c=0 is given by ...
d = |ax +by +c|/√(a²+b²)
In general for, the equation of the line is ...
x -y +4 = 0
so the distance formula is ...
d = |x -y +4|/√(1² +(-1)²) = |x -y +4|/√2
For the given point, the distance is ...
d = |6 -4 +4|/√2 = 6/√2
d = 3√2 . . . . distance from the point to the line
