Question

what is the length of yx?

Explanation:

Step1: Find coordinates of points

Assume each grid is 1 unit. Let \(Y=( - 1,-4)\) and \(X=(5,2)\)

Step2: Use distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Here \(x_1=-1,y_1 = - 4,x_2=5,y_2=2\)
\(d=\sqrt{(5-(-1))^2+(2 - (-4))^2}=\sqrt{(5 + 1)^2+(2 + 4)^2}\)
\(=\sqrt{6^2+6^2}=\sqrt{36+36}=\sqrt{72}\)
Simplify \(\sqrt{72}=\sqrt{36\times2}=6\sqrt{2}\approx8.49\)

Answer:

The length of \(YX\) is \(6\sqrt{2}\approx8.49\)