Find the coordinates of R if M (-4,5) is the midpoint in of RS and S has coordinates (0,-10)
To find the coordinates of point R, we can use the midpoint formula. The midpoint formula states that if M is the midpoint between two points (x1, y1) and (x2, y2), then the coordinates of M can be found by taking the average of the x-coordinates and the average of the y-coordinates of the two points.
Let's label the coordinates of point R as (x, y). The midpoint M is given as (-4, 5), and point S has coordinates (0, -10).
The x-coordinate of the midpoint M is the average of the x-coordinates of points R and S:
(x1 + x2) / 2 = (-4 + 0) / 2 = -2.
Therefore, the x-coordinate of point R is -2.
The y-coordinate of the midpoint M is the average of the y-coordinates of points R and S:
(y1 + y2) / 2 = (5 + (-10)) / 2 = -5 / 2 = -2.5.
Therefore, the y-coordinate of point R is -2.5.
Therefore, the coordinates of point R are (-2, -2.5).
(xR + xS) / 2 = xM
xR = 2 xM - xS = 2 (-4) - 0 = ?
find yR the same way