Answer :
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points (4, 3) and (1, -1). Substitute:
[tex]d=\sqrt{(1-4)^2+(-1-3)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]
Answer: The distance between the points (4, 3) and (1, -1) is equal 5 units.
The distance between the points (4,3) and (1,-1) on the coordinate plane is 5 units.
What is a distance formula?
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between the points (4,3) and (1,-1) can be find using the distance formula:
[tex]\rm d=\sqrt{(1-4)^2+(-1-3)^2}[/tex]
[tex]\rm d=\sqrt{9+16}[/tex]
d = 5 units
Thus, the distance between the points (4,3) and (1,-1) on the coordinate plane is 5 units.
Learn more about the distance formula here:
brainly.com/question/18296211
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