Question

what is the length of the line?
choose 1 answer:
a $sqrt{119}$
b $sqrt{60}$
c $sqrt{17}$
d 13

Explanation:

Step1: Count horizontal and vertical units

Count the horizontal units (\(x\)-difference) and vertical units (\(y\)-difference) between the two endpoints of the line. Assume the horizontal difference \(a = 12\) and vertical difference \(b=5\) (by counting grid - squares).

Step2: Apply the distance formula (Pythagorean theorem)

The length \(L\) of a line segment with horizontal difference \(a\) and vertical difference \(b\) is given by \(L=\sqrt{a^{2}+b^{2}}\). Substitute \(a = 12\) and \(b = 5\) into the formula: \(L=\sqrt{12^{2}+5^{2}}=\sqrt{144 + 25}=\sqrt{169}=13\).

Answer:

D. 13