Difference that is distance between two given points (6, 4) and (6, -8) is 14 units.
Solution:
Need to find the difference that is distance between the two points.
Two given points are [tex](6, 4)[/tex] and [tex](6, -8)[/tex]
We will be using distance formula to find the distance between two points
According to the distance formula distance d between two points [tex](x_1, y_1) \ and \ (x_2, y_2)[/tex] is given by
[tex]\bold{\mathrm{d}=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}}[/tex]
In our case [tex]x_1 = 6; \ y_1 = 4; \ x_2 = 6; \ y_2 = -8[/tex]
On substituting given values in distance formula we get ,
[tex]\mathrm{d}=\sqrt{(6-6)^{2}+(-8-6)^{2}}[/tex]
[tex]\Rightarrow \mathrm{d}=\sqrt{(0)^{2}+(-14)^{2}}[/tex]
[tex]\Rightarrow d=\sqrt{196}[/tex]
[tex]\Rightarrow \mathrm{d}=14[/tex]
Hence, distance between two given points is 14 units.
