Given the coordinates of the endpoints of line segment GH as the following, G(4, 10) and H(–2, –6).
Mohamed was trying to find the coordinates of the midpoint of line segment GH.
Below is his answer, check whether he is correct or not, if not, spot his mistakes.

Mohamed’s
The formula of the midpoint is: M = x1+ x22, y1+ y22
M = 4 +(-2)2, 10 + 62
M = (1, 8)

(-1,-2)

Step-by-step explanation:

The given coordinates are ,

Midpoint can be calculated by finding the mean of x coordinates and y coordinates . As ,

→ Midpoint = ( 4-2/2 , 10-6/2)

→ Midpoint = ( -2/2 , -4/2 )

→ Midpoint = ( - 1 , -2)

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

the naturalist literary movement was an extension of the realist literary movement, a movement that strove to portray life as it really was hope it

step-by-step explanation: