Question

What is the distance between A (-1, 4) and B (-6, 16)?

Answer 1

$\\ \sf\longmapsto AB=\sqrt{(-1+6)^2+(4-16)^2}$

$\\ \sf\longmapsto AB=\sqrt{(5)^2+(-12)^2}$

$\\ \sf\longmapsto AB=\sqrt{25+144}$

$\\ \sf\longmapsto AB=\sqrt{169}$

$\\ \sf\longmapsto AB=13$

Answer 2

Answer:

• formula:

$\dashrightarrow \: { \tt{length = \sqrt{ {(x _{1} - x _{2}) }^{2} + {(y _{1} - y _{2} ) }^{2} } }}$

• x1 → -1

• x2 → -6

• y1 → 4

• y2 → 16

${ \tt{length = \sqrt{ {( - 1 - ( - 6))}^{2} + {(4 - 16)}^{2} } }} \\ \\ = { \tt{ \sqrt{ {5}^{2} + {( - 12)}^{2} } }} \\ \\ = { \tt{ \sqrt{25 + 144} }} \\ \\ = { \tt{ \sqrt{169} }} \\ \\ \dashrightarrow \: { \boxed{ \tt{ \: \: length = 13 \: units \: \: }}}$