Question

find the distance between the points (6, - 4) and (6, 5).
distance:

Explanation:

Step1: Identify the coordinates

The two points are \((x_1,y_1)=(6,-4)\) and \((x_2,y_2)=(6,5)\).

Step2: Apply the distance formula for points with same \(x\) - coordinate

Since \(x_1 = x_2=6\), the distance \(d=\vert y_2 - y_1\vert\).
Substitute \(y_1=-4\) and \(y_2 = 5\) into the formula: \(d=\vert5-(-4)\vert=\vert5 + 4\vert\).

Step3: Calculate the absolute value

\(\vert5 + 4\vert=\vert9\vert = 9\).

Answer:

\(9\)