Answer:
[tex]\sqrt{2}[/tex] units
Step-by-step explanation:
To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (2,9) and (3,8) into the formula and simplify:
[tex]d = \sqrt{(8-9)^2+(3-2)^2} \\d = \sqrt{(-1)^2+(1)^2} \\d = \sqrt{1+1} \\d= \sqrt{2}[/tex]
So, the distance is [tex]\sqrt{2}[/tex] units.
