Coordinate Geometry - Math

Quadrant III comprises the points whose - and - coordinates are both negative. This makes the correct choice.

A quadrant is set up in such a way that the positive numbers are to the right and top, while the negative numbers are to the left and bottom. The x-value (the first number in the ordered pair) is the distance left or right from the center. The y-value (the second number in the ordered pair) is the distance above or below the axis.

will be units to the right, and units up.

will be units to the left, and units up.

has 0 as its -cordinate and is therefore on the -axis, which is not part of any of the four quadrants.

Quadrant IV consists of the points with positive -coordinates and negative -coordinates. Therefore is the correct choice.

has 0 as its -coordinate and is therefore on the -axis, which is not part of any of the four quadrants.

The third quadrant is the lower left quadrant, where both the and values are negative. The point is the only point that is in this quadrant.

In order to get to the point , start at the origin and move right unit and up units.

This is point .

In order to get to the point , start at the origin and move right units and down units.

This is point .

In order to get to the point , start at the origin and move left unit and down unit.

This is point .

In order to get to the point , start at the origin and move right units and up units.

This is point .

In order to get to the point , start at the origin and move left units, then up units.

This is point .

in order to get to the point , move right units and up units.

This is point .

in order to get to the point , start at the origin and move right units and up units.

This is point .

In order to get to th point , start at the origin and move left units and up unit.

This is point .

In order to get to point , start at the origin and move left unit and down units.

This is point .

in order to get to the point , start at the origin and move right units and up units.

This is point .

In order to get to the point , start at the origin and move left units and up units.

This is point .

in order to get to the point , start at the origin and move down units.

This is point .

An ordered pair can be looked at like this:

(x-coordinate, y-coordinate)

where the first number represents the x-coordinate and the second number represent the y-coordinate.

The x-coordinate is simply the position on the x-axis. The y-coordinate is the position on the y-axis.

If we look at a coordinate plane, we can see where the x- and the y-axes are located.

The x-axis is horizontal (going left to right) and the y-axis is vertical (going up and down).

Now, when we graph the ordered pair , we locate on the x-axis.

In this example, the y-coordinate is . From the current position, we locate on the y-axis.

This is where we plot the point .

Lines can be written in the slope-intercept format:

In this format, equals the line's slope and represents where the line intercepts the y-axis.

In the given equation:

Perpendicular lines have slopes that are negative reciprocals of each other.

First, we need to find its reciprocal.

Second, we need to rewrite it with the opposite sign.

Only one of the choices has a slope of .