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Answer:
The answer is below
Explanation:
The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:
[tex]Distance=AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
a) Distance between (-3, 1) and (5, 4)
[tex]Distance=\sqrt{(5-(-3))^2+(4-1)^2}=\sqrt{8^2+3^2}=\sqrt{73} =8.5\ units[/tex]
b) Distance between (2, 3) and (4, 5)
[tex]Distance=\sqrt{(4-2)^2+(5-3)^2}=\sqrt{2^2+2^2}=\sqrt{8} =2.8\ units[/tex]
c) Distance between (-5, 7) and (8, 5)
[tex]Distance=\sqrt{(8-(-5))^2+(5-7)^2}=\sqrt{13^2+(-2)^2}=\sqrt{173} =13.2\ units[/tex]
d) Distance between (-2, 4) and (3, -1)
[tex]Distance=\sqrt{(3-(-2))^2+(-1-4)^2}=\sqrt{5^2+(-5)^2}=\sqrt{50} =7.1\ units[/tex]