Q59. - Algebra 2

Question

Graph each set of ordered pairs on a coordinate plane.

$\{(-1,2),(2,4),(3,-3),(4,-1)\}$

Step-by-Step Solution

Answer

The graph is:

Step 1 - Define ordered pair.

An ordered pair is a combination of the x - coordinate and the y - coordinate, having two values written in a fixed order within parentheses.

Step 2 - Plot the points.

The points are,

$\{(-1,2),(2,4),(3,-3),(4,-1)\}$

The points are paired in the order $(x,y)$ . In one pair, the first number denotes the x - coordinate and the second number denotes the y - coordinate.

 

For each pair $(x,y)$ , to plot that particular point move  number points along the horizontal x - axis, move towards right from origin if number is positive and if number is negative move towards left from origin.

 

Now from that   point, move vertically parallel to y - axis to find the y -coordinate. Move up if the number is positive and move downwards if the number is negative. Then draw a point on that position. That point represents the pair $(x,y)$ .

 

Here, the first point is $(-1,2)$  that is  x- coordinate is   and y - coordinate is 2.

 

Similarly for the other three pairs first number is x - coordinate and second number is y - coordinate.

 

Now, the graph consisting of the four pairs is:

Step 3 - State the conclusion.

Therefore, the graph is: