Suggested languages for you:

Americas

Europe

Q64.

Expert-verifiedFound in: Page 52

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

**Plot the point in a coordinate plane. Describe the location of the point.**

** $\text{E}\u200a\u200a\text{(}4\text{,}\u200a\u200a-2\text{)}$**

Point $E\u200a\u200a(\u200a4,\u200a\u200a-2\u200a)$ is 4 units right from the origin and 2 units down from the x-axis. Point $E\u200a\u200a(\u200a4,\u200a\u200a-2\u200a)$ is in Quadrant IV.

A Rectangular or Cartesian coordinate system in two dimensions (x and y) is defined by an ordered pair of perpendicular lines or axes

Points are placed by their distance along a horizontal (x) and vertical (y) axis from the origin, defined as (0, 0).

**Coordinate of the Origin**

It has zero distance from both the axes. Hence the coordinates of the origin are (0, 0).

**Sign convention of all quadrants: **

First quadrant: x – positive and y – positive

2^{nd} quadrant: x – negative and y – positive

3^{rd} quadrant: x – negative and y – negative

4^{th} quadrant: x – positive and y – negative

In coordinate geometry, first, we learn about locating the points in a X – Y coordinate plane.

For example, the point (2, 3) is 3 units away from the X−axis measured along the positive X−axis and 2 units away from Y−axis measured along the positive Y−axis.

The points having x-coordinate as ‘0′ lies on the Y−axis and the points having Y-coordinate as ‘0’ lies on the X−axis

For example, the points (2, 0), (5, 0) lies on X−axis and the points (0, −3), (0, 7) lies on Y−axis

Consider, the point provided in the question, $E\u200a\u200a(\u200a4,\u200a\u200a-2\u200a)$

Point $E\u200a\u200a(\u200a4,\u200a\u200a-2\u200a)$ is 4 units right from the origin and 2 units down from the *x*-axis.

Point $E\u200a\u200a(\u200a4,\u200a\u200a-2\u200a)$ is in Quadrant VI.

94% of StudySmarter users get better grades.

Sign up for free