156k views
2 votes
What is the x-coordinate of the other endpoint of the line segment, given that the distance between the two points is 6/5, one endpoint is (4, -3), and the y-coordinate of the other endpoint is 7?

Option 1: 4
Option 2: 5
Option 3: 6
Option 4: 7

User Gouda
by
8.5k points

1 Answer

4 votes

Final answer:

Using the distance formula and the known endpoint (4, -3) and length (6/5), with the y-coordinate of the other endpoint being 7, we find that the x-coordinate of the other endpoint must also be 4. Therefore, Option 1 is the correct answer.

Step-by-step explanation:

In order to find the x-coordinate of the other endpoint of a line segment given one endpoint with coordinates (4, -3) and the fact that the line segment has a length of 6/5, and the y-coordinate of the other endpoint is 7, we can use the distance formula which is derived from the Pythagorean theorem.

The distance formula is:

d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)

Here, (x_1, y_1) is (4, -3), y_2 is 7, and d is 6/5.

We are looking for x_2. By substituting the known values into the distance formula and solving for x_2, we can find that the x-coordinate is the same as the given point, which is 4.

Thus, the correct answer is Option 1.

User Tamer Tas
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.