Question

what is the length of the line? choose 1 answer: a 9 b 8 c $sqrt{45}$ d $sqrt{27}$

Explanation:

Step1: Determine horizontal and vertical displacements

Count the horizontal and vertical units between the two - end points of the line. The horizontal displacement $x$ is 6 units and the vertical displacement $y$ is 3 units.

Step2: Apply the distance formula

The distance $d$ between two points in a 2 - D plane is given by the Pythagorean theorem $d=\sqrt{x^{2}+y^{2}}$. Substitute $x = 6$ and $y = 3$ into the formula: $d=\sqrt{6^{2}+3^{2}}=\sqrt{36 + 9}=\sqrt{45}$.

Answer:

C. $\sqrt{45}$