Answer:
AB = [tex]\sqrt{53}[/tex]
Step-by-step explanation:
Distance between two points:
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+( y_{2}-y_{1})^{2}}[/tex]
we have:
A(-4,1) and B (3,-1)
[tex]x_{1} = -4\\\\x_{2} =3\\\\y_{1} = 1\\\\y_{2} =-1[/tex]
so we have:
[tex]d=\sqrt{(3-(-4))^{2}+( -1-1)^{2}}\\\\d=\sqrt{(7)^{2}+(-2)^{2}}\\\\d=\sqrt{49+4}\\\\d= \sqrt{53} = AB[/tex]
