Question

1. (-6.1, -8.4) and (-6.1, -4.2)
2. (-5.4, 4.7) and (0.6, 4.7)

Explanation:

Step1: Identify the formula for distance

For two points \((x_1,y_1)\) and \((x_2,y_2)\), if \(x_1 = x_2\), the distance \(d=\vert y_1 - y_2\vert\); if \(y_1 = y_2\), the distance \(d=\vert x_1 - x_2\vert\). Here, for the points \((-5.4,4.7)\) and \((0.6,4.7)\), \(y_1 = y_2 = 4.7\).

Step2: Calculate the distance

Use the formula \(d=\vert x_1 - x_2\vert\). Substitute \(x_1=-5.4\) and \(x_2 = 0.6\) into the formula: \(d=\vert-5.4 - 0.6\vert=\vert-6\vert = 6\)

Answer:

\(6\)