Chapter 3Linear Equations and Graphs

Question 1

The Cartesian coordinate system was named after

Answer 1

René Descartes

Question 2

It consists of two real number lines:

Answer 2

horizontal axis (x-axis) and the vertical axis (y-axis)

Question 3

The two number lines divide the plane into four areas called .

Answer 3

quadrants

Question 4

The quadrants are numbered using

Answer 4

Roman numerals

Question 5

An is a pair of elements or numbers written in a specific and fixed order.

Answer 5

ordered pair

Question 6

On a Cartesian plane, an ordered pair (x, y) is defined as theof a point

Answer 6

coordinates

Question 7

The two axes intersect at the

Answer 7

origin

Question 8

The ordered pair defines the position of origin.

Answer 8

(0,0)

Question 9

The first element “x” is known as

Answer 9

x-coordinateor abscissa.

Question 10

The second element “y” is known as

Answer 10

y-coordinateor ordinate

Question 11

If A = 0 and B is not equal to zero, then the graph is a

Answer 11

horizontal line

Question 12

If A is not equal to zero and B = 0, then the graph is a

Answer 12

vertical line

Question 13

If A is not equal to zero and B is not equal to zero

Answer 13

slope-intercept form

Question 14

where m is the slope and (x1, y1) is a given point

Answer 14

Point-Slope Form

Question 15

A in two variables is an equation that can be written in the standard form

Answer 15

linear equation

Question 16

standard form

Answer 16

Ax + By = C, where A, B, and C are constants (A and B not both 0), and x and y are variables.

Question 17

A of an equation in two variables is an ordered pair of real numbers that satisfy the equation.

Answer 17

solution

Question 18

The of an equation in two variables is the set of all solutions of the equation.

Answer 18

solution set

Question 19

The of an equation is the graph of its solution set.

Answer 19

graph