Answer:
((X_2 - X_1)/4, (Y_2 - Y_1)/4)
Step-by-step explanation:
C = The new point
X_1 = The x coordinate of A
X_2 = The x coordinate of B
X_3 = The x coordinate of C
Y_1 = The y coordinate of A
Y_2 = The y coordinate of B
Y_3 = The y coordinate of C
The distance between A and the new point, C, is equal to 1/4 the distance from the X coordinate of A to the X coordinate of b.
So, X_3 = (X_2 - X_1)/4
The Y is the same thing but for the Y coordinate.
Y_3 = (Y_2 - Y_1)/4
This means that the coordinates of C are equal to ((X_2 - X_1)/4, (Y_2 - Y_1)/4)
To find the coordinates of a point that's a quarter way from point a to point b, use the following formula: [(1*x2 + 3*x1) / 4, (1*y2 + 3*y1) / 4], where (x1, y1) and (x2, y2) are the coordinates of points a and b respectively.
In mathematics, to find the coordinates that are 1/4 of the way from point a to point b, you simply need to apply the formula for finding a point along a line segment connecting two points. If you have two points (x1, y1) - coordinates of point a and (x2, y2) - coordinates of point b, a point P that divides the line segment AB in the ratio of m:n (in this case m=1, n=3 since it's 1/4 of the way) has the coordinates: [(mx2 + nx1) / (m+n), (my2 + ny1) / (m+n)].
So, if point a = (x1, y1) and point b = (x2, y2), the coordinates of the point that is 1/4 of the way from a to b is given by: [(1*x2 + 3*x1) / 4, (1*y2 + 3*y1) / 4].
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