Answer:
Distance= 16.4 units
Midpoint= (1½, -1)
Step-by-step explanation:
[tex]\boxed{distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }[/tex]
Distance between (-5, 4) and (8, -6)
[tex] = \sqrt{ {( - 5 - 8)}^{2} + {[4 - ( - 6)]}^{2} } [/tex]
[tex] = \sqrt{ {( - 13)}^{2} + (4 + 6) {}^{2} } [/tex]
[tex] = \sqrt{169 + 10^{2} } [/tex]
[tex] = \sqrt{169 + 100} [/tex]
[tex] = \sqrt{269} [/tex]
= 16.4 units (3 s.f.)
[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}[/tex]
Midpoint
[tex] = ( \frac{8 - 5}{2} , \frac{ - 6 + 4}{2} )[/tex]
[tex] = ( \frac{3}{2} , \frac{ - 2}{2} )[/tex]
[tex] = ( 1\frac{1}{2} , - 1)[/tex]
