To find the coordinate of point F, which is 3/5 of the way from C to D on a number line with C at −1 and D at 9, calculate it as C + (D − C) × fraction. The final answer is 5.
The position of point F, which is 3/5 of the way from C to D on a number line where C is at −1 and D is at 9, can be found using the formula for finding a point a certain fraction of the way between two other points, which is given by:
C + (D − C) × fraction
Inserting the given values:
−1 + (9 − (−1)) × (3/5) = −1 + (10) × (3/5) = −1 + 6 = 5
Therefore, the coordinate of point F is 5.