Question

question
the coordinates of the point e are (-5,6) and the coordinates of point f are (3,6). what is the distance, in units, between the point e and point f?
answer attempt 1 out of 2
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Explanation:

Step1: Identify the formula for distance between two points with the same y - coordinate

When two points \((x_1,y_1)\) and \((x_2,y_2)\) have \(y_1 = y_2\), the distance \(d=\vert x_2 - x_1\vert\). Here, \(E(-5,6)\) and \(F(3,6)\), so \(x_1=-5\), \(x_2 = 3\), \(y_1 = y_2=6\).

Step2: Calculate the distance

Substitute \(x_1=-5\) and \(x_2 = 3\) into \(d=\vert x_2 - x_1\vert\). We get \(d=\vert3-(-5)\vert=\vert3 + 5\vert\).
Since \(\vert3 + 5\vert=\vert8\vert=8\).

Answer:

\(8\)