Q6. - Algebra 1

Question

Graph each ordered pair on a coordinate grid.

$\left(2,-1\right)$

Step-by-Step Solution

Answer

The ordered pair on a coordinate grid is as shown below:

Step 1. State the concept for finding the coordinates of a point.

Coordinate $\left(x,y\right)$ of a point is an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. 

 

In rectangular coordinate system any point be in the form of $\left(x,y\right)$.

• In Quadrant I, both the coordinates of ordered pair are positive, that is, $\left(+,+\right)$.
• In Quadrant II, first number is negative and second is positive, that is, $\left(-,+\right)$.
• In Quadrant III, both the coordinates of ordered pair are negative, that is, $\left(-,-\right)$.
• In Quadrant IV, first point is positive and second is negative, that is, $\left(+,-\right)$.

Step 2. State the steps to plot the coordinates.

In order to plot the point $\left(2,-1\right)$, observe that $\left(2,-1\right)$ is in fourth Quadrant.

Steps to plot the coordinates $\left(2,-1\right)$ are:

• Move to positive x axis by 2 units starting from origin as value of x  is 2.
• Then move in negative y direction by 1 unit as value of y is $-1$.

Step 3. Plot the coordinates.

The plot of the coordinate as shown below: