the mid point of ef is (-3,7). the coordinates of e are (-3,10. find the coordinates of f.
the mid point of ef is (-3,7). the coordinates of e are (-3,10. find the coordinates of f.
To find the coordinates of point F, you can use the midpoint formula. The midpoint formula states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the coordinates:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the midpoint of EF is (-3, 7) and one endpoint E is (-3, 10). Let's use these values in the midpoint formula.
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
(-3, 7) = ((-3 + x2)/2, (10 + y2)/2)
We know that the x-coordinate of the midpoint is -3, so we can substitute this into the equation:
-3 = (-3 + x2)/2
Now, we can solve for x2:
-3 * 2 = -3 + x2
-6 = -3 + x2
x2 = -6 + 3
x2 = -3
Now, let's find the y-coordinate of point F. We already know that the y-coordinate of the midpoint is 7, so we can substitute this into the equation:
7 = (10 + y2)/2
Now, we can solve for y2:
7 * 2 = 10 + y2
14 = 10 + y2
y2 = 14 - 10
y2 = 4
Therefore, the coordinates of point F are (-3, 4).