Question

Find the mid-point of (-4,4), (5,-1)

Answer 1

Hello!

To find the midpoint, use the formula:
`((x_(1)+x_(2) )/(2), (y_(1)+ y_(2) )/(2))`.

Before using the formula, you must assign ordered pairs to x1, y1 and x2, y2. For this problem, (-4, 4) can be (x1, y1) and (5, -1) is (x2, y2).

`((-4+5)/(2), (-1 + 4)/(2)) = ((1)/(2), (3)/(2))`.

Therefore, the midpoint of (-4, 4) and (5, -1) is (1/2, 3/2).

Answer 2

So, the required mid points are:

`\sf \blue{ (1)/(2) \: and \: (3)/(2)}`

Explanation:

As, we know that. The formula to find mid point is:

`\sf \green{ (\frac{ {x}_(1) + {x}_(2) }{2}, \frac{ {y}_(1) + {y}_(2) }{2} )}`

Here,
`\sf{x_(1)}` = - 4

`\sf{x_(2)}` = 5

`\sf{y_(1)}` = 4

`\sf{y_(2)}` = - 1

According to the formula given above,

`\sf \green{ (\frac{ {x}_(1) + {x}_(2) }{2}, \frac{ {y}_(1) + {y}_(2) }{2} )} \\ \\ \green \leadsto (( - 4 + 5)/(2), (4 + ( - 1))/(2)) \\ \\ \green \leadsto( (1)/(2), (4 - 1)/(2) ) \\ \\ \green\leadsto( (1)/(2), (3)/(2))`

By using the formula, we can solve the problem easily.

Hope it help you