Question

Find the midpoint of the line segment with end coordinates of: (-4,-2) and (-2, -10)​

Answer 1

(-3,-6)

Explanation:

midpoint formula :
`((x_1+x_2)/(2) ,(y_1+y_2)/(2) )`

where the x and y values derive from the given points

The points given are (-4,-2) and (-2,-10)

The first step is to assign variables

first coordinate : (x1,y1) = (-4,-2) so x1 = -4 and y1 = -2

second coordinate : (x2,y2) = (-2,-10) so x2 = -2 and y2 = -10

Next we plug in these values into the formula

Recall formula :
`((x_1+x_2)/(2) ,(y_1+y_2)/(2) )`

x1 = -4 , x2 = -2 , y1 - 2 and y2 = - 10

plug in values

`((-4+(-2)))/(2) ,(-2+(-10))/(2) )`

simplify numerators : -4 + -2 = -6 and -2 + -10 = -12

`((-6)/(2) ,(-12)/(2) )`

simplify fractions : -6/2 = -3 and -12/2 = -6

the midpoint is (-3,-6)