Answer: Distance = 4.123
Step-by-step explanation:
The given coordinates are P(-1,5) and Q (3,4)
- 1 = x1 = the horizontal coordinate(along the x axis) at P
3 = x2 = the horizontal coordinate (along the x axis) at Q
5 = y1 = vertical coordinate( along the y axis) at P
4 = y2 = vertical coordinate(along the y axis) at Q
The distance between points P and Q is expressed as square root of the sum of the square of the horizontal distance and the square of the vertical distance. It becomes
Distance = √(x2 - x1)^2 + (y2 - y1)^2
Distance = √(3 - - 1)^2 + (4 - 5)^2
Distance = √ 4^2 + (-1)^2
Distance = √16+1 = √17
Distance = 4.123
