The distance between the two points is 5.83 units.
Explanation:
Given that the coordinates of the two points A and B are (4,3) and (-1,6)
Distance between A and B:
The distance between the two points can be determined using the formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Substituting the coordinates (4,3) and (-1,6), we get,
[tex]d=\sqrt{(-1-4)^2+(6-3)^2[/tex]
Simplifying the terms, we get,
[tex]d=\sqrt{(-5)^2+(3)^2[/tex]
Squaring the terms, we have,
[tex]d=\sqrt{25+9}[/tex]
Adding the terms, we have,
[tex]d=\sqrt{34}[/tex]
[tex]d=5.83 \ units[/tex]
Thus, the distance between the two points is 5.83 units.
