Explanation:
Imagine that your teacher wanted you to find the midpoint of -3 and 7 on the number line. To do this, you would add up the given values and divide by 2.
(-3+7)/2 = 4/2 = 2
The value 2 is right in the middle of -3 and 7 on the number line. This result is also the x coordinate of the midpoint since the values I used were the x coordinates of the original points.
The y coordinates are handled the same way:
(18+24)/2 = 42/2 = 21
The y coordinate of the midpoint is y = 21
Overall, the midpoint is (2, 21)
Option (d)
[tex]midpoint \: of \: the \: two \: points \: = (\frac{x1 + x2}{2}) \: (\frac{y1 + y2}{2}) [/tex]
Let,
(-3,18) be (x1, y1). (7,24) be (x2,y2)
Substitute in this formula we get,
[tex] (\frac{ - 3 + 7}{2}) \: (\frac{18 + 24}{2}) [/tex]
[tex] (\frac{4}{2}) \: ( \frac{42}{2})[/tex]
= (2, 21)
