Question

midpoint between the 2 points are (4,4) and (0,0) is​

Answer 1

Answer:

The answer will be $(2, 2 )$.

Step-by-step explanation:

The two point given is;

                   (4,4) and (0,0)

It's also given that we need to find the midpoint.

So, the ratio of distance of these two points to midpoint will be;

                                       = 1 : 1;

(1 : 1 ratio means both the distance form points to midpoint are equal.)

 So, here we will use Section formula which states that;

                           = $(\frac{m_{1} x_{2} + m_{2} x_{1} }{m_{1} + m_{2} } \frac{m_{1} y_{2} + m_{2} y_{1} }{m_{1} + m_{2} } )$               (here, x1, x2, y1 and y2 are coordinates and m1 and m2 are the ratio)

Here, we have x1 = 4;

                         x2 = 0;

                         y1 = 4;

                        y2 = 0;

And, m1 = 1;

        m2 = 1;

Hence, midpoint equals;

                    =   $(\frac{(1) (0) + (1) (4) }{(1) + (1) } \frac{(1) (0) + (1) (4) }{(1) + (1)} )$;

                    = $(\frac{0 + 4 }{2 } \frac{0 + 4 }{2} )$;

                    = $(\frac{4 }{2 } \frac{ 4 }{2} )$;

                    = $(2, 2 )$;

Hence their midpoint will be  $(2, 2 )$.

That's all.