Question

geometry
what is the length of side ab as shown on the coordinate plane?
6 units
2 units
8 units
4 units

Explanation:

Step1: Find the x - coordinates of points A and B

Point A has an x - coordinate of \(x_A=-2\), and point B has an x - coordinate of \(x_B = 4\).

Step2: Calculate the length of AB

Since AB is a horizontal line (y - coordinates of A and B are the same, \(y_A=y_B = 1\)), the length of AB is given by the difference in x - coordinates. Using the formula \(d=\vert x_2 - x_1\vert\), we substitute \(x_1=-2\) and \(x_2 = 4\). Then \(AB=\vert4-(-2)\vert=\vert4 + 2\vert=6\)

Answer:

6 units