Questions: Find the distance between (-8,4) and (-8,-2). 2 units 6 units 8 units 10 units

Transcript text: Find the distance between $(-8,4)$ and $(-8,-2)$. 2 units 6 units 8 units 10 units

Solution

Step 1: Identify the coordinates

The given points are $(-8, 4)$ and $(-8, -2)$.

Step 2: Use the distance formula

The distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Step 3: Substitute the values into the formula

Substitute $x_1 = -8$, $y_1 = 4$, $x_2 = -8$, and $y_2 = -2$ into the formula: \[ d = \sqrt{(-8 - (-8))^2 + (-2 - 4)^2} \]

Step 4: Simplify the expression

\[ d = \sqrt{(0)^2 + (-6)^2} = \sqrt{0 + 36} = \sqrt{36} \]

Step 5: Calculate the square root

\[ d = 6 \]

The distance between the points is 6 units.

$\boxed{6 \text{ units}}$

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