Question

What is the midpoint of the segment shown below? (3, 7) (2, -1)

Answer 1

Answer:

(2,-1)

Step-by-step explanation:

Welol to find the line of (3,7) and (2,-1) we need to use the following formula,

$\frac{y^2-y^1}{x^2-x^1}$

So -1 is y2 7 is y1 so -1 - 7 = -8

2-3 = -1

Hence, the slope of the line is 8.

And graphing more points on the graph using the slope we can see the y intercept is -17.

So the equation is y = 8x - 17

And the mid point is at (2, -1)

Answer 2

Answer:

( 2.5 , 3 )

Step-by-step explanation:

Let the points be A and B

A ( 3 , 7 ) --------> (x1 , y1 )

B ( 2 , -1 ) --------> ( x2 , y2 )

Finding the midpoint:

$( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

$= ( \frac{3 + 2}{2} , \: \frac{7 + ( - 1)}{2} )$

$= ( \frac{5}{2} , \: \frac{7 - 1}{2} )$

$= ( \frac{5}{2} ,\: \frac{6}{2} )$

$= (2.5 ,\: 3)$

Hope this helps...

Good luck on your assignment ....