1. Fill in the gaps.
When working with equations that have two (1)__________, the coordinate plane is an important tool. It's a way to draw pictures of equations that makes them easier to understand.
To create a coordinate plane, start with a sheet of graph paper. Next, draw a (2)__________ line. This line is called the x-axis and is used to locate values of x. To show that the axis actually goes on forever in both directions, use small arrowheads at each end of the line. Mark off a number line with (3)__________ in the center, positive numbers to the (4)__________, and negative numbers to the (5)__________.
Next draw a (6)__________ line that intersects the x axis at zero. This line is called the y-axis and is used to locate the values of y. Mark off a number line with zero in the center, (7)__________ numbers going upwards, and (8)__________ numbers going downwards. The point where the x and y axes intersect is called the origin. The origin is located at (9)__________ on the x axis and zero on the y axis.
Locating Points Using Ordered Pairs
We can locate any point on the coordinate plane using an ordered pair of numbers. We call the ordered pair the coordinates of the point. The coordinates of a point are called an ordered pair because the order of the two (10)__________ is important.
The first number in the ordered pair is the (11)__________ coordinate. It describes the number of units to the left or right of the origin. The second number in the ordered pair is the (12)__________ coordinate. It describes the number of units above or below the origin. To plot a point, start at the (13)__________ and count along the x axis until you reach the x coordinate, count right for positive numbers, left for negative. Then count up or down the number of the y coordinate (up for (14)__________, down for (15)__________.)
To make it easy to talk about where on the coordinate plane a point is, we divide the coordinate plane into four sections called quadrants.
Points in Quadrant 1 have positive x and positive y coordinates.
Points in Quadrant 2 have (16)__________ x but (17)__________ y coordinates.
Points in Quadrant 3 have (18)__________ x and (19)__________ y coordinates.
Points in Quadrant 4 have (20)__________ x but (21)__________ y coordinates.
2. Match each word with its translation in Spanish.
COORDINATE PLANE EJES CARTESIANOS
DEPENDENT VARIABLE VARIABLE DEPENDIENTE
INDEPENDENT VARIABLE FUNCIÓN
FUNCTION PAR ORDENADO
SET OF POINTS VARIABLE INDEPENDIENTE
3. Complete the Crossword.