Question

Find the distance between the points A and B in the following:A(1,-3), B(4, 1)​

Answer 1

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Answer 2

$\huge {\boxed {\mathbb {QUESTION}}}$

Find the distance between the points A and B in the following:

$A=(1,-3), B=(4, 1)$

$\huge {\boxed {\mathbb {ANSWER}}}$

$A=(1,-3), B=(4, 1)$

$A=(1,-3)=(x_1,y_1)\\B=(4, 1)=(x_2,y_2)$

$formula \\d=\sqrt{{x_2-x_1}^{2}+{y_2-y_1}^{2}}$

$Substitute\: the\: values$

$\implies d=\sqrt{{(4-1)}^{2}+{(1-(-3))}^{2}}$

$\implies d=\sqrt{{(3)}^{2}+{(1+3)}^{2}}$

$\implies d=\sqrt{{(3)}^{2}+{(4)}^{2}}$

$\implies d=\sqrt{9+16}$

$\implies d=\sqrt{25}$

$\implies{\boxed {\boxed {d=5\:units}}}$

$\huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$\huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

$Formulas \:of\:coordinate\: geometry$

$d=\sqrt{{x_2-x_1}^{2}+{y_2-y_1}^{2}}$

$p(x, y) =(\frac{m_1\:x_2+m_2\:x_1}{m_1+m_2},\frac{m_1\:y_2+m_2\:y_1}{m_1+m_2})$

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