Find the distance between the points (10,7) and (10,3). ____ units

Calculate Differences: Calculate the difference in x-coordinates and y-coordinates. Difference in x-coordinates: $x_2 - x_1 = 10 - 10 = 0$ Difference in y-coordinates: $y_2 - y_1 = 3 - 7 = -4$Apply Distance Formula: Apply the distance formula: $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Substitute the differences: $\sqrt{(0)^2 + (-4)^2}$Simplify Expression: Simplify the expression inside the square root. Calculate: $0^2 = 0$ and $(-4)^2 = 16$ So, $\sqrt{0 + 16} = \sqrt{16}$Find Distance: Find the square root to get the distance. $\sqrt{16} = 4$

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Find the distance between the points $(10,7)$ and $(10,3)$ . $\newline$ $\_\_\_\_$ units

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Algebra 1

Distance between two points

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Q. Find the distance between the points

(10,7)

and

(10,3)

\newline

\_\_\_\_

units

Calculate Differences: Calculate the difference in x-coordinates and y-coordinates. $\newline$ Difference in x-coordinates: $x_2 - x_1 = 10 - 10 = 0$ $\newline$ Difference in y-coordinates: $y_2 - y_1 = 3 - 7 = -4$
Apply Distance Formula: Apply the distance formula: $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ . $\newline$ Substitute the differences: $\sqrt{(0)^2 + (-4)^2}$
Simplify Expression: Simplify the expression inside the square root. $\newline$ Calculate: $0^2 = 0$ and $(-4)^2 = 16$ $\newline$ So, $\sqrt{0 + 16} = \sqrt{16}$
Find Distance: Find the square root to get the distance. $\newline$ $\sqrt{16} = 4$