Question

How do you find the midpoint of M(10, –6) and N(–10, –4)?

Answer 1

`color(blue)(P_("mid")" "->( 0,-6))`

Explanation:

You have two options of approach

Method 1: `" start point "+ 1/2" way"`

Method 2: Mean value

I am opting for mean value

Let first point be`" "P_1->(x_1,y_1)->(10,-6)`
Let second point be`" "P_2->(x_2,y_2)->(-10,-4)`

`P_("mid")" "->" "((x_1+x_2)/2,(y_1+y_2)/2)`

`P_("mid")" "->((10+(-10))/2 ,(-6+(-6))/2)`

`color(blue)(P_("mid")" "->( 0,-6))`

Answer 2

(0 , -5 )

Explanation:

Use the `color(blue)" mid-point formula "`

M = [`1/2(x_1+x_2) , 1/2(y_1+y_2)`]

let`(x_1,y_1) = (10,-6)" and " (x_2,y_2) = (-10,-4)`

substitute these values into formula.

`rArr M=[1/2(10-10) , 1/2(-6-4) ] = (0 , -5 )`