Segment upper A upper B is graphed on a coordinate plane. The x-axis ranges from negative 2 to 8 in increments of 1. The y-axis ranges from negative 2 to 8 in increments of 1.
What are the coordinates of point X if it is located 23 of the way from A to B ?
(1 point)
Responses
X(163,113)
upper X left parenthesis 6 comma Start Fraction 11 over 3 End Fraction right parenthesis
X(263,5)
upper X left parenthesis Start Fraction 26 over 3 End Fraction comma 5 right parenthesis
X(83,10)
upper X left parenthesis Start Fraction 8 over 3 End Fraction comma 10 right parenthesis
X(4,83)
The correct answer is X(6, 11/3).
To find the coordinates of point X, we need to determine 23% of the distance from point A to point B along both the x-axis and the y-axis.
Since the x-axis ranges from -2 to 8, the total distance from A to B along the x-axis is 8 - (-2) = 10 units.
23% of 10 units is (23/100) * 10 = 23/10 = 2.3 units.
Starting from point A, we move 2.3 units along the x-axis to the right, which gives us an x-coordinate of 6.
Similarly, since the y-axis ranges from -2 to 8, the total distance from A to B along the y-axis is 8 - (-2) = 10 units.
23% of 10 units is (23/100) * 10 = 23/10 = 2.3 units.
Starting from point A, we move 2.3 units along the y-axis upwards, which gives us a y-coordinate of 11/3.
Therefore, the coordinates of point X are (6, 11/3).