Find the distance between the points (9,8) and (9,2). ____ 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) = (9, 8) and (x_2, y_2) = (9, 2).Substitute coordinates: Step 2: Substitute the coordinates into the formula. Calculate x_2 - x_1: 9 - 9 = 0. Calculate y_2 - y_1: 8 - 2 = 6. Distance: sqrt((9-9)^2 + (8-2)^2).Simplify expression: Step 3: Simplify the expression inside the square root. Calculate (9-9)^2: 0^2 = 0. Calculate (8-2)^2: 6^2 = 36. Distance: sqrt(0 + 36).Calculate distance: Step 4: Calculate the square root to find the distance. sqrt(36) = 6.

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Find the distance between the points $(9,8)$ and $(9,2)$ . $\newline$ ____ units

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Algebra 1

Distance between two points

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Q. Find the distance between the points

(9,8)

and

(9,2)

\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, $(x_1, y_1) = (9, 8)$ and $(x_2, y_2) = (9, 2)$ .
Substitute coordinates: Step $2$ : Substitute the coordinates into the formula. $\newline$ Calculate $x_2 - x_1$ : $9 - 9 = 0$ . $\newline$ Calculate $y_2 - y_1$ : $8 - 2 = 6$ . $\newline$ Distance: $\sqrt{(9-9)^2 + (8-2)^2}$ .
Simplify expression: Step $3$ : Simplify the expression inside the square root. $\newline$ Calculate $(9-9)^2$ : $0^2 = 0$ . $\newline$ Calculate $(8-2)^2$ : $6^2 = 36$ . $\newline$ Distance: $\sqrt{0 + 36}$ .
Calculate distance: Step $4$ : Calculate the square root to find the distance. $\newline$ $\sqrt{36} = 6$ .