To find the distance between any points, we must use the equation
--> [tex]\sqrt{(y2-y1)^2+(x2-x1)^2}[/tex]
For the first question (3,-1) and (5,4), if we plug in the numbers, we get:
--> [tex]\sqrt{(4--1)^2+(5-3)^2} =\sqrt{5^2 + 2^2} =5.39 units[/tex]
For the second question (2,3) and (4,5), if we plug in the numbers, we get
--> [tex]\sqrt{(5-3)^2+(4-2)^2} =\sqrt{2^2+2^2} =2.83units[/tex]
For the third question (-5,7) and (8,5), if we plug in the numbers, we get
--> [tex]\sqrt{(5-7)^2+(8--5)^2} =\sqrt{(-2)^2+(13)^2} =13.15units[/tex]
For the fourth question (-2,4) and (3,-1), if we plug in the numbers, we get
--> [tex]\sqrt{(-1-4)^2+(3--2)^2} =\sqrt{(-5)^2+5^2} =7.07units[/tex]
Hope it helped!
