What is the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1: 3?

–1
3
7
11

Step 1

Find the distance KJ in the x-coordinate

we know that

the distance between two points with only one coordinate is equal to

substitute the values

Step 2

Find the x-coordinate of the point  that divides the directed line segment from K to J into a ratio of

we know that

the ratio is

so

Divided the distance  KJ in the x-coordinate by

Adds the x-coordinate of J to   times  

therefore

the answer is the option