Question

(-4,2) (5,0) midpoint

Answer 1

Answer:
`\Large\boxed{Midpoint~=~((1)/(2) ,~1)}`

Explanation:

Given information

(x₁, y₁) = (-4, 2)

(x₂, y₂) = (5, 0)

Given formula for midpoint

`Midpoint~=~((x_1~+~x_2)/(2) ,~(y_1~+~y_2)/(2) )`

Substitute values into the formula

`Midpoint~=~((-4~+~5)/(2) ,~(2~+~0)/(2) )`

Simplify by addition

`Midpoint~=~((1)/(2) ,~(2)/(2) )`

Simplify fractions if necessary

`\Large\boxed{Midpoint~=~((1)/(2) ,~1)}`

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

`M = (0.5, 1)`

Explanation:

The midpoint can be found using the formula:
`x, y = ((x_2+x_1)/(2), (y_2 + y_1)/(2))`

So plugging in the values we get:
`M = ((-4+5)/(2), (2+0)/(2))\\M = ((1)/(2), (2)/(2))\\M = (0.5, 1)`