The point on the x -axis nearest to the point (-4,-5) is

To find the point on the x-axis that is nearest to the point \((-4, -5)\), we need to understand that the nearest point on the x-axis will have the same x-coordinate as the given point but a y-coordinate of 0 (since it lies on the x-axis).

1. **Given Point**: \((-4, -5)\)
2. **Point on the x-axis**: \((-4, 0)\)

To confirm this, we can calculate the distance between these two points using the distance formula:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Substitute \((x_1, y_1) = (-4, -5)\) and \((x_2, y_2) = (-4, 0)\):

\[
d = \sqrt{((-4) - (-4))^2 + (0 - (-5))^2} = \sqrt{(0)^2 + (5)^2} = \sqrt{25} = 5
\]

Thus, the nearest point on the x-axis to \((-4, -5)\) is \((-4, 0)\).

Would you like to go over the calculation details or ask anything specific?

Here are 5 related questions you might find useful:
1. How do you find the nearest point on the y-axis to a given point?
2. What is the distance between two points in a 3D coordinate system?
3. How do you find the nearest point on a line to a given point?
4. What is the formula for finding the distance between a point and a line?
5. How can you find the midpoint between two points?

**Tip:** When finding the nearest point to a specific axis, set the coordinates of the other axis to zero.

The point on the x-axis nearest to the point (-4,-5) is

Discover how to find the nearest point on the x-axis to the point (-4, -5) using coordinate geometry. This problem demonstrates the distance formula and key geometric concepts, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation