The formula for calculating the distance between two points is:
d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)d=√(x2−x1)2+(y2−y1)2
Substituting the values from the points in the problem and calculating gives:
d = sqrt((color(red)(2) - color(blue)(4/5))^2 + (color(red)(-1/2) - color(blue)(-1))^2)d=√(2−45)2+(−12−−1)2
d = sqrt((color(red)(2) - color(blue)(4/5))^2 + (color(red)(-1/2) + color(blue)(1))^2)d=√(2−45)2+(−12+1)2
d = sqrt((color(red)(2) - color(blue)(0.8))^2 + (color(red)(-0.5) + color(blue)(1))^2)d=√(2−0.8)2+(−0.5+1)2
d = sqrt((1.2)^2 + (0.5)^2)d=√(1.2)2+(0.5)2
d = sqrt(1.44 + 0.25)d=√1.44+0.25
d = sqrt(1.69) = 1.3d=√1.69=1.3
d = 1 + 3/10d=1+310
d = 10/10 + 3/10d=1010+310
d = 13/10d=1310
The distance between the points is 1.31.3 or 13/101310
