Option C: The distance between the two points is 7.8 units
Explanation:
Given that the two points are (-2,4) and (3,-2)
Distance between the two points:
The distance between the two points can be determined using the formula,
[tex]c=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Substituting the coordinates (-2,4) and (3,-2), we get,
[tex]c=\sqrt{(3+2)^2+(-2-4)^2}[/tex]
Simplifying the terms, we get,
[tex]c=\sqrt{(5)^2+(-6)^2}[/tex]
Squaring the terms, we have,
[tex]c=\sqrt{25+36}[/tex]
Adding, we get,
[tex]c=\sqrt{61}[/tex]
[tex]c=7.8[/tex]
Thus, the distance between the two points is 7.8 units
Therefore, Option C is the correct answer.
