The distance between the two locations is 7.81 miles
Distance between two points
Given the point at (4,3) represents the location of her house, and the point at (10, 8) represents the location of the gas station.
The distance between the two locations will be determined using the formula
D [tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the given coordinate into the formula
[tex]D=\sqrt{(-6)^2+(-5)^2}\\D=\sqrt{(4-10)^2+(3-8)^2}\\D=\sqrt{36+25}\\ D=\sqrt{61}\\ D=7.81miles[/tex]
Hence the distance between the two locations is 7.81 miles
learn more on distance formula here: https://brainly.com/question/661229