Coordinate Planes

coordinate plane

a grid formed by a horizontal line called the x-axis and the vertical line called the y-axis

x axis

The horizontal number line on a coordinate plane

y axis

the vertical number line in a coordinate plane

x coordinate

the first number in an ordered pair

y coordinate

the second number in an ordered pair

ordered pair

Two numbers that can be used to locate a point on a coordinate plane

origin

(0,0)

to plot

To mark a point on a coordinate grid using an X and a Y coordinate.

(-1, 2)

x = -1, y = 2

(3, 3)

x = 3, y = 3

slope

Rise over run

positive slope

line that goes up from left to right

negative slope

a line that goes down from left to right

rise

the change in the y-values of two points on a line

run

the change in the x-values of two points on a line

quadrant

one of four sections of a coordinate plane

positive

(+) a number greater than zero

negative

(-) a number less than zero

quadrant I (1)

(x, y) the quadrant where both the x and y coordinates are positive.

quadrant II (2)

(-x, y) the quadrant where the x-coordinate is negative & y-coordinate is positive.

quadrant III (3)

(-x,-y) the quadrant where both the x-coordinate and the y-coordinate are negative

quadrant IV (4)

(x, -y) the quadrant where the x coordinate is positive and the y-coordinate is negative

line

a one-dimensional figure, which has length but no width. A line is made of a set of points which extends in opposite directions infinitely.

line segment

part of a line with two endpoints

point

an exact location in space

slope-intercept form

y = mx + b

y intercept

where the line crosses the y axis

m

slope