Question

What is the distance between (–2, 3) and (–2, –7)?

Answer 1

distance`=10`

Explanation:

Start by labelling each coordinate.

`(x_1,y_1)=(color(red)(-2),color(blue)3)`
`(x_2,y_2)=(color(darkorange)(-2),color(purple)(-7))`

Using the distance formula,

`d=sqrt((x_2-x_1)^2+(y_2-y_1)^2 )`

substitute the variables into the formula to find the distance between the two coordinates.

Thus,

`d=sqrt((color(darkorange)(-2)-(color(red)(-2)))^2+(color(purple)(-7)-color(blue)3)^2 )`

`d=sqrt((-2+2)^2+(-10)^2)`

`d=sqrt(0+100)`

`d=color(green)(|bar(ul(color(white)(a/a)color(black)(10)color(white)(a/a)|)))`