Answer:
[tex]\boxed {d = \sqrt{58}}[/tex]
Step-by-step explanation:
Use the Distance Formula to help determine the distance between the two given points:
[tex]d = \sqrt{(x_{2} - x_{1}) ^{2} + (y_{2} - y_{1})^{2}}[/tex]
First point: [tex](x_{1}, y_{1})[/tex]
Second point: [tex](x_{2}, y_{2})[/tex]
-Apply the given points onto the formula:
First point: [tex](-5, 1)[/tex]
Second point: [tex](2, 4)[/tex]
[tex]d = \sqrt{(2 + 5) ^{2} + (4 - 1)^{2}}[/tex]
-Solve for the distance:
[tex]d = \sqrt{(2 + 5) ^{2} + (4 - 1)^{2}}[/tex]
[tex]d = \sqrt{(7) ^{2} + (3)^{2}}[/tex]
[tex]d = \sqrt{49 + 9}[/tex]
[tex]\boxed {d = \sqrt{58}}[/tex] (since the number can't be square rooted, it will stay written the same)
Therefore, the distance is [tex]\sqrt{58}[/tex].
