Question

If a line joining two points M(1, 4)and N(5, 2) find the midpoints of the coordinates?

Answer 1

$\huge\underline\mathrm{GivEn:-}$

• If a line joining two points M(1, 4)and N(5, 2)

$\huge\underline\mathrm{To\:Find:-}$

Find the midpoints of the coordinates = ?

$\huge\underline\mathrm{SoLution:-}$

To find the mid point of the co-ordinates, we use the formula :-$\large\frac{x _{1} + x _{2}}{2} , \frac{y _{1} + y _{2} }{2}$

$x _{1} = 1 \: \: \: \: \: \: \: \: y _{1} = 4\\ x_{2} = 5 \: \: \: \: \: \: \: \: y _{2} = 2$

The co-ordinates of the mid-point of the join of (1,4) and (5,2) are

$\bf{x = }$$\large\bf \frac{x _{1} + x _{2} }{2} = \frac{5 + 1}{2} </p><p>$

$\implies$$\bf{x =}$ $\large{\bf {\frac{6}{2}}}$$\bf{ = 3}$

$\bf{y =}$ $\large\bf \frac{y _{1} + y _{2} }{2} = \frac{4 + 2}{2}$

$\implies$$\bf{y =}$ $\large{\bf {\frac{6}{2}}}$$\bf{= 3}$

$\large{\boxed{\bf{x = 3}}}$

$\large{\boxed{\bf{y = 3}}}$

Hence, the mid- point is (3,3)

Answer 2

Answer:

$\implies$ The mid - point is (3, 3).

$\large\underline\mathrm{Given:-}$

• If a line joining two points M(1, 4)and N(5, 2).

$\large\underline\mathrm{To \: find}$

• Find the midpoints of the coordinates?

$\large\underline\mathrm{Solution}$

• find the midpoint of the co-ordinate, we used the formula;

$\implies$ (x1 + x2)/2

$\implies$ (y1 + y2)/2

$\implies$ x1 = 1

$\implies$ x2 = 5

$\implies$ y1 = 4

$\implies$ y2 = 2

• find the midpoints of the join of (1, 4) and (5, 2) are.

$\implies$ x = (x1 + x2)/2 = (5 + 1)/2 = 6/2 = 3.

$\implies$ x = 3.

$\implies$ y = (y1 + y2)/2 = (4 + 2)/2 = 6/2 = 3.

$\implies$ y = 3.

Thus,

The mid - point is (3, 3).