Question

question 4 of 6 (1 point) | question attempt: 3 of unlimited
in the figure below, k lies between j and l.
find the location of k so that the ratio of jk to kl is 1 to 7.
j
-31
k
?
l
-7
location of k :

Explanation:

Step1: Find the distance between J and L

The coordinate of J is -31 and the coordinate of L is -7. The distance \( JL \) is \( | -7 - (-31) | = |24| = 24 \).

Step2: Determine the length of JK

The ratio of \( JK \) to \( KL \) is \( 1:7 \), so the total number of parts is \( 1 + 7 = 8 \) parts. Each part has length \( \frac{24}{8} = 3 \). So \( JK = 3 \).

Step3: Find the coordinate of K

Since K is to the right of J, we add the length of \( JK \) to the coordinate of J. The coordinate of J is -31, so the coordinate of K is \( -31 + 3 = -28 \).

Answer:

-28