Answer:
The distance between these two points is of 15.65 units.
Explanation:
Distance between two points:
Suppose we have two points, (x1,y1) and (x2,y2).
The distance between them is given by:
![D=\sqrt[]{(x2-x1)^2+(y2-y1)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/p2x69tv0d9ag25sfaxxf0sahkvarwy6zcd.png)
In this question:
Points (-3,5) and (4,-9)
The distance is:
![D=\sqrt[]{(4-(-3))^2+(-9-5)^2}=\sqrt[]{7^2+(-14)^2}=\sqrt[]{245}=15.65](https://img.qammunity.org/2023/formulas/mathematics/college/o4w3ggityn2o1rkmo61a1jo5x0fum247g9.png)
The distance between these two points is of 15.65 units.