Find the distance between the points (6,8) and (6,4). ____ units

Identify Formula: Step 1: Identify the formula to calculate the distance between two points. Use the distance formula: sqrt((x_2-x_1)^2 + (y_2-y_1)^2). Here, (x_1, y_1) = (6, 8) and (x_2, y_2) = (6, 4).Substitute Coordinates: Step 2: Substitute the coordinates into the formula. Calculate x_2 - x_1: 6 - 6 = 0. Calculate y_2 - y_1: 4 - 8 = -4.Square Differences: Step 3: Square the differences. Square 0: 0^2 = 0. Square -4: (-4)^2 = 16.Add & Find Square Root: Step 4: Add the squared values and find the square root. Calculate sqrt(0 + 16). sqrt(16) = 4.

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Find the distance between the points $(6,8)$ and $(6,4)$ . $\newline$ $\_\_\_\_$ units

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Algebra 1

Distance between two points

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Q. Find the distance between the points

(6,8)

and

(6,4)

\newline

\_\_\_\_

units

Identify Formula: Step $1$ : Identify the formula to calculate the distance between two points. Use the distance formula: $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . Here, $(x_1, y_1) = (6, 8)$ and $(x_2, y_2) = (6, 4)$ .
Substitute Coordinates: Step $2$ : Substitute the coordinates into the formula. $\newline$ Calculate $x_2 - x_1$ : $6 - 6 = 0$ . $\newline$ Calculate $y_2 - y_1$ : $4 - 8 = -4$ .
Square Differences: Step $3$ : Square the differences. $\newline$ Square $0$ : $0^2 = 0$ . $\newline$ Square $-4$ : $(-4)^2 = 16$ .
Add & Find Square Root: Step $4$ : Add the squared values and find the square root. $\newline$ Calculate $\sqrt{0 + 16}$ . $\newline$ $\sqrt{16} = 4$ .