Question

M(-3,0) is the midpoint between R(x,y) and S(s,8) find the coordinates of R

Answer 1

To find the coordinates of point R, we used the midpoint formula, which tells us the midpoint coordinates are the averages of the corresponding coordinates of R and S. Solving for R, we find that the coordinates are (-3, -8).

Step-by-step explanation:

The question asks us to find the coordinates of point R given that M is the midpoint between points R and S. To find the coordinates of R we can use the midpoint formula, which states that the coordinates of the midpoint M are the averages of the x and y coordinates of points R and S respectively.

So, given the midpoint M(-3,0) and one endpoint S(s,8), we can set up the following equations:

• The x-coordinate of M is the average of the x-coordinates of R and S: (-3 + s) / 2 = -3
• The y-coordinate of M is the average of the y-coordinates of R and S: (y + 8) / 2 = 0

Let's solve these equations to find the x and y coordinates of R:

1. For the x-coordinates: (-3 + s) / 2 = -3 -> -3 + s = -6 -> s = -3
2. For the y-coordinates: (y + 8) / 2 = 0 -> y + 8 = 0 -> y = -8

Therefore, the coordinates of point R are (-3, -8).