Respuesta :

Answer:

Point x equals 3 and y equals -4 so the answer is (3,-4)

Step-by-step explanation:

The distance between the points a(-1 3) and b(2 -1) is 5.

What is the distance formula?

The Distance Formula squares the differences between the two x coordinates and two y coordinates, then adds those squares, and finally takes their square root to get the total distance along the diagonal line:

The distance between the points a(-1 3) and b(2 -1).

The distance beween two points is given by;

[tex]\rm Distance=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2}[/tex]

Substitute all the values in the formula;

[tex]\rm Distance=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2}\\\\\rm Distance=\sqrt{(2-(-1))^2+(-1-3)^2}\\\\\rm Distance=\sqrt{(3)^2+(4)^2}\\\\\rm Distance=\sqrt{9+16}\\\\\rm Distance=\sqrt{25}\\\\Distance =5[/tex]

Hence, the distance between the points a(-1 3) and b(2 -1) is 5.

Learn more about distance formula here;

https://brainly.com/question/12864470

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