Question

to place each of the described points on the numbered line. 2/7 of the distance from r to p; 1/3 of the distance from p to n (points r: -45, q: -11, p: 7, n: 34, m: 49 on a number line)

Explanation:

First Point (1/4 of distance from R to P)

Step1: Find distance from R to P

R is at -45, P is at 7. Distance = \( 7 - (-45) = 52 \)

Step2: Calculate 1/4 of distance

\( \frac{1}{4} \times 52 = 13 \)

Step3: Find the point

Start at R (-45) and move 13 units towards P: \( -45 + 13 = -32 \)

Second Point (1/3 of distance from P to N)

Step1: Find distance from P to N

P is at 7, N is at 34. Distance = \( 34 - 7 = 27 \)

Step2: Calculate 1/3 of distance

\( \frac{1}{3} \times 27 = 9 \)

Step3: Find the point

Start at P (7) and move 9 units towards N: \( 7 + 9 = 16 \)

Answer:

First point: -32
Second point: 16