Question

#6: find the distance between the pair of points shown below. *
1 point
k(3,-7) and l(3,6)
_______ units

Explanation:

Step1: Identify the coordinates

The coordinates of point \(K\) are \((x_1,y_1)=(3, - 7)\) and of point \(L\) are \((x_2,y_2)=(3,6)\).

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

Since \(x_1 = x_2=3\), the distance \(d=\vert y_2 - y_1\vert\).
Substitute \(y_1=-7\) and \(y_2 = 6\) into the formula: \(d=\vert6-(-7)\vert=\vert6 + 7\vert\).

Step3: Calculate the absolute value

\(\vert6 + 7\vert=\vert13\vert = 13\).

Answer:

\(13\)