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An 8km long straight beach is represented by the x-axis from x=0km to x=8km. Two lifeguard stations are located at A(2,2) and B(6,2), where the y-coordinate is the distance inland in km.
The beach manager decides that each point on the sand should be patrolled by the nearer station.
Write down the equation of the straight line that separates the patrol zones of stations A and B.
A swimmer has an emergency at P(3,4).
Determine, and justify, which station will watch over the swimmer.
An 8km long straight beach is represented by the x-axis from x=0km to x=8km. Two lifeguard stations are located at A(2,2) and B(6,2), where the y-coordinate is the distance inland in km.
The beach manager decides that each point on the sand should be patrolled by the nearer station.
Write down the equation of the straight line that separates the patrol zones of stations A and B.
A swimmer has an emergency at P(3,4).
Determine, and justify, which station will watch over the swimmer.