A. A graph of the coordinates of the points is shown on the coordinate plane in the image attached below.
B. The quadrant/axis of the following points are:
- (-4,-2) ↔ quadrant III.
- (5,-1) ↔ quadrant IV.
- (6,-8) ↔ quadrant IV.
- (-10,-35) ↔ quadrant III.
- (0,-12) ↔ quadrant IV and y-axis.
In Euclidean Geometry, an ordered pair is a pair of two elements (data points) that is written in a fixed order and within parentheses as (x, y), which represents the x-coordinate and the y-coordinate of any graph respectively.
Part A.
In order to plot the coordinates of each of the points, you would have to move to the right or left on the x-axis and then move up or down on the y-axis depending on the ordered pairs.
Part B.
Generally speaking, there are four (4) major quadrants in any graph and these include the following:
- Quadrant 1: both x and y are positive.
- Quadrant 2: x is negative while y is positive.
- Quadrant 3: both x and y are negative.
- Quadrant 4: x is positive while y is negative.
In this context, the points should be classified as follows;
(-4,-2) ↔ quadrant III.
(5,-1) ↔ quadrant IV.
(6,-8) ↔ quadrant IV.
(-10,-35) ↔ quadrant III.
(0,-12) ↔ quadrant IV and y-axis.