Given:
The endpoints are
6) (-7, -10), (-2, -3)
7) (-4,-3), (8, 2)
Required:
We need to find the midpoint of the given endpoints.
Step-by-step explanation:
Consider the midpoint formula.
![M=((x_1+x_2)/(2),(y_1+y_2)/(2))](https://img.qammunity.org/2023/formulas/mathematics/high-school/azlty9lox0olsrspemwjd5v1udpdz43v6k.png)
6)
Consider the points (-7, -10), and (-2, -3).
![Substitutte\text{ }x_1=-7,x_2=-2,y_1=-10,\text{ and }y_2=-3\text{ in the formula.}](https://img.qammunity.org/2023/formulas/mathematics/college/xwsk6r45wokbe8xzggnwh5uhxiq9dq81ru.png)
![M=((-7+(-2))/(2),(-10+(-3))/(2))](https://img.qammunity.org/2023/formulas/mathematics/college/u0nnkrpf5jilx7jmoa3158xo44pukxt015.png)
![M=((-7-2)/(2),(-10-3)/(2))](https://img.qammunity.org/2023/formulas/mathematics/college/ee9ssz3wl35l868rxgxm5d7mz9xv3fmkja.png)
![M=((-9)/(2),(-13)/(2))](https://img.qammunity.org/2023/formulas/mathematics/college/fcm51wyr0ar3eo2cqo2t7y1ezjpo7g8eco.png)
![M=(-4.5,-6.5)](https://img.qammunity.org/2023/formulas/mathematics/college/d46we6d1qilv8ewf1st968o96d02ijz8yp.png)
7)
Consider the points (-4,-3), and (8, 2).
![Substitutte\text{ }x_1=-4,x_2=8,y_1=-3,\text{ and }y_2=2\text{ in the formula.}](https://img.qammunity.org/2023/formulas/mathematics/college/980xv7xk6ja3m4zlfd3pcvyujxib7fw8qy.png)
![M=((-4+8)/(2),(-3+2)/(2))](https://img.qammunity.org/2023/formulas/mathematics/college/72iq9bh83lv4o3wazam3zgp764k3kgh0eq.png)
![M=((-4+8)/(2),(-3+2)/(2))](https://img.qammunity.org/2023/formulas/mathematics/college/72iq9bh83lv4o3wazam3zgp764k3kgh0eq.png)