Question

what is the length of the line? choose 1 answer: a 8 b 12 c $sqrt{60}$ d $sqrt{136}$

Explanation:

Step1: Identify horizontal and vertical changes

Count the horizontal and vertical displacements between the two - end points of the line on the grid. Assume the horizontal displacement $x$ and vertical displacement $y$. By counting the grid - squares, if we assume each grid - square has a side - length of 1 unit, we find that the horizontal displacement $x = 10$ and the vertical displacement $y = 6$.

Step2: Apply the distance formula

The length $d$ of a line segment with horizontal displacement $x$ and vertical displacement $y$ in a coordinate plane (or on a grid) can be found using the distance formula $d=\sqrt{x^{2}+y^{2}}$. Substitute $x = 10$ and $y = 6$ into the formula: $d=\sqrt{10^{2}+6^{2}}=\sqrt{100 + 36}=\sqrt{136}$.

Answer:

D. $\sqrt{136}$