Answer & Step-by-step explanation:
For this problem, we will use the distance formula.
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.
[tex]d=\sqrt{(1-(-3))^2+(5-1)^2}[/tex]
[tex]d=\sqrt{4^2+4^2}[/tex]
[tex]d=\sqrt{16 + 16}[/tex]
[tex]d=\sqrt{32}[/tex]
[tex]d=5.657[/tex]
So, the distance between (-3,1) and (1,5) is 5.657 units.
