The point which will lie along closer to point A will be [(-1/2), 6)].
A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that:-
The x-coordinate of point P, that lies 1/4 along segment AB, closer to A where A(-2, 5) and B(4, 9).
The points for the ratio of 1 / 4 will be calculated by using the formula given as below:
Points = [ x₁ + ratio( x₂ - x₁ ) ] , [ ( y₁ + (ratio)(y₂ - y₁ )]
Points = [ (-2 + (1/4) x (4 - (-2)], [ (5 + (1/4)( 9 - 5)]
Points = [ ( -2 + ( 1/ 4 ) 6 ) ] , [ ( 5 + ( 4 / 4)]
Points = [ ( -2 + (3 / 2)] , [ ( 5 + 1 )]
Points = [ ( -1 / 2 ) , [ ( 6 ) ].
Therefore the point which will lie along closer to point A will be [(-1/2), 6)].
To know more about Coordinate geometry follow
brainly.com/question/18269861
#SPJ1
