Answer:
Q = (5/2;5/4)
Explanation:
In the image, it's easier to write a formula by a 3-party platform.
The required coordinates of point Q on a segment with endpoints A(2, −1) and C(4, 2) partition the segment in a 3:1 ratio is (7/2, -5/4).
A line segment with endpoints A(2, −1) and C(4, 2).Point Q partitions the segment in a 3:1 ratio. coordinates of Q is to be determined.
A line can be defined by the shortest distance between two points is called a line.
For line segment, Q is a point on the segment divides segment in the ratio m:n than coordinates of Q is given by,
[tex]Q(x,y) = [mx_2+nx_1/m+b , my_2+ny_1/m+n][/tex]
put the respective values
Q(x, y) = [(3*4+1*2)/(3+1), (3*2-1*1)/(3+1)]
Q(x, y) = [(12+2)/4, (6-1)/4]
Q(x, y) = [14/4, 5/4]
Q(x, y) = [7/2 , 5/4]
coordinates of point Q coordinates of point Q.
Thus, the required coordinates of point Q on a line segment with endpoints A(2, −1) and C(4, 2) partition the segment in a 3:1 ratio is (7/2, -5/4).
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
