17. Graphing in the Coordinate Plane

Question 1

Define “Cartesian Plane”

Answer 1

1. An xy plane

Question 2

Define “Coordinate”

Answer 2

1. The number value assigned to a point on the x or y axis. Each point on the coordinate plane is identified by 2 coordinates.

Question 3

Define “Coordinate Plane”

Answer 3

1. The 2 dimensional plane, or the x-y plane.
2. A 2 dimensional object formed by two number lines, one horizontal and one vertical (so that they intersect at right angles)

Question 4

Define “Midpoint”

Answer 4

1. The middle point of a line segment

Question 5

Define “Ordered Pair”

Answer 5

1. The two coordinates used to identify a point on a coordinate plane
2. Ordered pairs are often written in the form (x,y), with the x axis coordinate first and the y-axis coordinate second

Question 6

Define “Origin”

Answer 6

1. The intersection point of the x-axis and y-axis

Question 7

Define “Quadrant”

Answer 7

1. One of the 4 sections of the coordinate plane
2. Quadrants are labeled counterclockwise from the top as 1, 2, 3, and 4

Question 8

Define “Slope”

Answer 8

1. The “Rise over run” or change in y over the change in x
2. The quantity of the vertical change in y-values divided by the horizontal change in x-values

Question 9

Define “X-axis”

Answer 9

1. The horizontal number line on the coordinate plane

Question 10

Define “Y-axis”

Answer 10

1. The vertical number line on the coordinate plane

Question 11

What is the Midpoint Formula of a Line Segment?

Answer 11

Question 12

What is the Slope Formula?

Answer 12

Question 13

What is the most common mistake when solving slope problems?

Answer 13

1. Switching the order in which you enter the information in the numerator and in the denominator