Answer:
[tex]\sf \sqrt{130} \quad is \ the \ distance \ between \ these \ two \ points[/tex]
Explanation:
Distance of two points is given by the formula:
[tex]\sf Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \quad where\ (x_1, y_1), (x_2, y_2) \ are \ points[/tex]
- Here given points are: (0, 6) and (9, -1)
Substituting the values in the equation
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]\sf d = \sqrt{(9- 0)^2 + (-1 -6)^2}[/tex]
[tex]\sf d = \sqrt{(9)^2 + (-7)^2}[/tex]
[tex]\sf d = \sqrt{81 + 49}[/tex]
[tex]\sf d = \sqrt{130}[/tex]
