Question

plane
what is the length of line segment cd with endpoints (-3, 2) and (2, 2) as shown on the coordinate plane?
4 units
3 units
2 units
5 units

Explanation:

Step1: Identify the formula for the distance between two points

For two points \((x_1,y_1)\) and \((x_2,y_2)\), if \(y_1 = y_2\), the distance \(d=\vert x_2 - x_1\vert\). Here, \(C(-3,2)\) and \(D(2,2)\), so \(y_1 = y_2=2\).

Step2: Calculate the distance

Substitute \(x_1=-3\) and \(x_2 = 2\) into \(d=\vert x_2 - x_1\vert\). Then \(d=\vert2-(-3)\vert=\vert2 + 3\vert=\vert5\vert = 5\).

Answer:

5 units