Question

what is the length of the line? choose 1 answer: a 4 b 5 c $sqrt{5}$ d 6

Explanation:

Step1: Identify horizontal and vertical displacements

Assume each grid - square side is 1 unit. The line has a horizontal displacement of 3 units and a vertical displacement of 4 units.

Step2: Apply the Pythagorean theorem

The length \(L\) of a line segment with horizontal displacement \(a = 3\) and vertical displacement \(b = 4\) in a right - triangle formed by the line and the grid lines is given by \(L=\sqrt{a^{2}+b^{2}}\). So \(L=\sqrt{3^{2}+4^{2}}=\sqrt{9 + 16}=\sqrt{25}=5\).

Answer:

B. 5