Answer:
√73 or 8.54 units
Explanation:
Given two points:
[tex]\begin{gathered} (x_1,y_1)=(-1,1) \\ \left(x_2,y_2\right)=\left(7,4\right) \end{gathered}[/tex]To find the distance between the two points, we use the distance formula given below:
[tex]$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} $[/tex]Substitute the values into the formula:
[tex]\begin{gathered} Distance=\sqrt{(7-(-1))^2+(4-1)^2} \\ =\sqrt{(7+1)^2+(3)^2} \\ =\sqrt{(8)^2+(3)^2} \\ =\sqrt{64+9} \\ =\sqrt{73} \\ \approx8.54\text{ units} \end{gathered}[/tex]The distance between the two points is √73 or 8.54 units (correct to 2 decimal places).
