Question

Find the midpoint between (-9, 3) and (5, 7). PLEASE SOLVE THIS QUICK!! DUE IN AN HOUR

Answer 1

Answer:

(-2,5)

Step-by-step explanation:

Answer 2

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We know that mid - point of a line segment divides it into two equal parts, that is it divides the segment in the ratio of 1 : 1, so let's find the coordinates of the mid point of line segment joining points (-9 , 3) and (5 , 7).

let the coordinates of the points be x and y, now

• $m = 1$

• $n = 1$

• $x_2 = 5$

• $x_1 = - 9$

• $y_2 = 7$

• $y_1 = 3$

Using section formula :

value of x :

• $x = \dfrac{mx_2 - nx_1}{m + n}$

• $x = \dfrac{(1 \times 5) - (1 \times - 9)}{1 + 1}$

• $x = \dfrac{5 - ( - 9)}{2}$

• $x = \dfrac{5 + 9}{2}$

• $x = \dfrac{14}{2}$

• $x = 7$

value of y :

• $y = \dfrac{my_2 -ny_1 }{m+ n}$

• $y = \dfrac{(1 \times 7) - (1 \times 3)}{1 + 1}$

• $y = \dfrac{7 - 3}{2}$

• $y = \dfrac{4}{2}$

• $y = 2$

So, coordinates of the point which is midpoint of the given line is :

$\boxed{ \boxed{ (7, 2)}}$