Answer:
[tex]2 \sqrt{37} \: units[/tex]
Step-by-step explanation:
[tex]\boxed{distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }[/tex]
Distance from a to b
[tex] = \sqrt{ {[ - 1 - ( - 3)]}^{2} + {[4 - ( - 8)]}^{2} } [/tex]
[tex] = \sqrt{ {( - 1 + 3)}^{2} + {(4 + 8)}^{2} } [/tex]
[tex] = \sqrt{ {2}^{2} + {12}^{2} } [/tex]
[tex] = \sqrt{4 + 144} [/tex]
[tex] = \sqrt{148} [/tex]
[tex] = \sqrt{4(37)} [/tex]
[tex] = ( \sqrt{4} )( \sqrt{37} )[/tex]
[tex] = 2 \sqrt{37} [/tex]
