Question

Calculate the distance between A(4,3) and B(-1, 6)

Answer 1

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,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Substituting the coordinates (4,3) and (-1,6), we get,

$d=\sqrt{(-1-4)^2+(6-3)^2$

Simplifying the terms, we get,

$d=\sqrt{(-5)^2+(3)^2$

Squaring the terms, we have,

$d=\sqrt{25+9}$

Adding the terms, we have,

$d=\sqrt{34}$

$d=5.83 \ units$

Thus, the distance between the two points is 5.83 units.