# What is the distance in the standard (x,y) coordinate plane between the points (1,0) and (0,5)?

Jun 24, 2016

5.38

#### Explanation:

d^2=(x_2−x_1)^2+(y_2−y_1)^2

${x}_{1} = 1$ ${y}_{1} = 0$
${x}_{2} = 0$ ${y}_{2} = 5$

${d}^{2} = {\left(0 - 2\right)}^{2} + {\left(5 - 0\right)}^{2}$

${\left(0 - 2\right)}^{2} + {\left(5 - 0\right)}^{2} = {\left(- 2\right)}^{2} + {\left(5\right)}^{2} = 29 = {d}^{2}$

${\sqrt{d}}^{2} = \sqrt{29} = d \approx 5.38$