Question

Find the distance between A(-2, 1) and A(4, -3)

Answer 1

The formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have the points (-2, 1) and (4, -3). Substitute:

`d=√((4-(-2))^2+(-3-1)^2)=√(6^2+(-4)^2)=√(36+16)\\\\=√(52)=√(4\cdot13)=\sqrt4\cdot√(13)=2√(13)`

Answer:
`2√(13)`

Used:
`√(ab)=√(a)\cdot√(b)`