Question

find the distance between the points (-6.1, 4) and (9.3, 4).

Explanation:

Step1: Identify y - coordinates

Both points have \( y = 4 \), so it's a horizontal line segment.

Step2: Use distance formula for horizontal points

For horizontal points \((x_1,y)\) and \((x_2,y)\), distance \( d=\vert x_2 - x_1\vert \).
Here, \( x_1=- 6.1 \), \( x_2 = 9.3 \).
So \( d=\vert9.3-(-6.1)\vert=\vert9.3 + 6.1\vert=\vert15.4\vert = 15.4 \).

Answer:

\( 15.4 \)