1.3 Equations and Graphs in Two Variables

Question 1

a composition of the x-coordinate and the y-coordinate, having two values written in a fixed order with parenthesis (x, y)

Answer 1

ordered pair

Question 2

another name for the x-coordinate of an ordered pair

Answer 2

abscissa

Question 3

another name for the y-coordinate of an ordered pair

Answer 3

ordinate

Question 4

consists of two number lines drawn perpendicular to one another intersecting at zero on each number line

Answer 4

rectangular coordinate system

Question 5

point of intersection of the two axes of the rectangular coordinate system (0, 0)

Answer 5

origin

Question 6

horizontal axis of the rectangular coordinate system

Answer 6

x-axis

Question 7

vertical axis of the rectangular coordinate system

Answer 7

y-axis

Question 8

another name for the rectangular system

Answer 8

cartesian coordinate system

Question 9

another name for an ordered pair

Answer 9

points

Question 10

locating a point that corresponds to (a, b) in the xy-plane

Answer 10

plotting or graphing

Question 11

a set of points in the rectangular coordinate system

Answer 11

graph

Question 12

Label the x-axis, y-axis, origin and the 4 quadrants on a coordinate plane.

Answer 12

Question 13

Pythagorean Theorem

Answer 13

Question 14

Distance Formula

Answer 14

Question 15

Midpoint on a number line

Answer 15

Question 16

Midpoint on a Coordinate Plane

Answer 16

Question 17

an ordered pair when replaced into the equation for each variable makes a true statement

Answer 17

solution

Question 18

set of all ordered pairs that satisfy the equation

Answer 18

solution set

Question 19

the fixed distance in the circle from a given point

Answer 19

radius

Question 20

the set of all points in a plane that lie a fixed distance from a given point in the plane

Answer 20

circle

Question 21

the point inside the circle that is equidistant to every point on the circle

Answer 21

center

Question 22

standard form of a circle

Answer 22

Question 23

Standard Form of a Line

Answer 23

Question 24

In order of a line to be in standard form, what should you remember

Answer 24

No fractions, no decimals, and the x term should be positive.

Question 25

The point (x,0) where the line crosses the x-axis

Answer 25

x-intercept

Question 26

the point (0, y) where the line crossed the y-axis

Answer 26

y-intercept

Question 27

How do you find an x-intercept for a line?

Answer 27

Plug in 0 for y and solve for x. Write the answer as (x, 0).

Question 28

How do you find a y-intercept for a line?

Answer 28

Plug in 0 for x and solve for y. Write the answer as (0, y).

Question 29

What is the equation of any horizontal line?

Answer 29

y = # and has a y-intercept of (0, y)

Question 30

What is the equation of any vertical line?

Answer 30

x = # and has an x-intercept of (x, 0)