M(5,7)is the midpoint of the line segment joining A(3,4) to B.find the coordinates of B.

Question

asked Nov 8, 2022 231k views

2 Answers

Matjaz · Answer 1 · 2022-11-10T02:41:06+0000

Answer:

B(5, 7)

Explanation:

Midpoint formula is given as

m(5, 7)= ((x_1+x_2)/(2) , (y_1+y_2)/(2)) ------------(1)

Here

(x_1, y_1)=(3, 4)

Suppose point B is
(x_2, y_2)

Substituting value sin equation (1)

$(5, 7) = ( (3+x_2)/(2) , \frac {4+y_2} {2} )$

$5 = (3+x_2)/(2) \\7 = \frac {4+y_2} {2}$

x_2 = 7

y_2 = 10