Question

1. in the video, to find the distance between the two points, (-4, 4) & (5, -2), she used the distance formula as d = √((5 - (-4))²+(-2 - 4)²) will it change the answer if you use d = √((-4 - 5)²+(4 - (-2))²) yes no

Explanation:

Step1: Expand the first - distance formula

For $d_1=\sqrt{(5 - (-4))^{2}+(-2 - 4)^{2}}$, we have $d_1=\sqrt{(5 + 4)^{2}+(-6)^{2}}=\sqrt{81 + 36}=\sqrt{117}$.

Step2: Expand the second - distance formula

For $d_2=\sqrt{(-4 - 5)^{2}+(4-(-2))^{2}}$, we have $d_2=\sqrt{(-9)^{2}+(4 + 2)^{2}}=\sqrt{81+36}=\sqrt{117}$.
Since $d_1 = d_2$, the order of subtraction of the coordinates in the distance formula does not matter because $(a - b)^2=(b - a)^2$ for any real numbers $a$ and $b$.

Answer:

No