What is the approximate distance between points A and B? A coordinate grid is shown from negative 5 to 0 to 5 on both axes at increments of 1. The ordered pair 4, 3 is labeled as A, and the ordered pair negative 2, negative 4 is labeled as B 3.61 9.22 10.35 12.62

[tex]\begin{array}{rcl}AB & = & \sqrt{6^{2} + 7^{2}}\\& = & \sqrt{36 + 49}\\& = & \sqrt{85}\\& \approx & \mathbf{9.220} \end{array}\\\text{The approximate distance between the points is $\large \boxed{\mathbf{9.220}}$}[/tex]

shubhamchouhanvrVT shubhamchouhanvrVT · Answer 2 · 2022-08-10T07:58:40+02:00

The approximate distance between points A and B will be equal to 9.220.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. The length of the line segment between two places represents their distance.

Most notably, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.

The formula for the distance between two points is,

[tex]D =\sqrt{(x_2-x_1)+y_2-y_1)^2[/tex]

x₂ - x₁ = 4 - (-2) = 9

y₂ - y₁ = 3 - (-4) = 7

The formula, in effect, creates a right triangle, so we can use the Pythagorean theorem to calculate the distance.

AB = √( 6² + 7² )

= √ ( 36 + 49 )

= √85

= 9.22

Therefore, the approximate distance between points A and B will be equal to 9.220.

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