Question

9)
at what coordinate would you place point b so that it is \\(\frac{1}{4}\\) of the distance from a to c?
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
a is at -5, c is at 3

Explanation:

Step1: Find coordinates of A and C

From the number line, \( A = -5 \), \( C = 3 \).

Step2: Calculate distance from A to C

Distance \( d = C - A = 3 - (-5) = 8 \).

Step3: Find \( \frac{1}{4} \) of the distance

\( \frac{1}{4} \times 8 = 2 \).

Step4: Find coordinate of B

Start at A and move 2 units towards C: \( B = A + 2 = -5 + 2 = -3 \).

Answer:

\(-3\)