1.4 Linear Equations in Two Variables

Question 1

measures steepness of a line

Answer 1

slope

Question 2

the ratio of the rise to the run

Answer 2

slope

Question 3

the change in the y-coordinates

Answer 3

rise

Question 4

the change in the x-coordinates

Answer 4

run

Question 5

symbol for the change in the x values (difference)

Answer 5

Question 6

symbol for the change in the y values (difference)

Answer 6

Question 7

slope formula

Answer 7

Question 8

Other formulas for slope

Answer 8

Question 9

Point-slope formula of a line

Answer 9

Question 10

Slope-intercept formula of a line

Answer 10

Question 11

Graph a line with positive slope

Answer 11

Question 12

Graph a line with negative slope

Answer 12

Question 13

Graph a line with zero slope

Answer 13

Question 14

Graph a line with undefined slope

Answer 14

Question 15

Standard form of a line

Answer 15

Question 16

What do you know about the slopes of two nonvertical lines in a coordinate plane that are parallel

Answer 16

the slopes are equal

Question 17

What do you know about the slopes of two perpendicular lines

Answer 17

the slopes are opposite reciprocals and

Question 18

When asked to write an equation of a line, which form should you use?

Answer 18

point-slope

Question 19

What is the equation of a vertical line?

Answer 19

Question 20

What do you need to remember about standard form of a line?

Answer 20

Ax is first
By is second
C is on the opposite side of Ax and By
No fractions
No decimals
A should be positive

Question 21

What is the equation of a horizontal line?

Answer 21

Question 22

What is the slope of a vertical line?

Answer 22

undefined

Question 23

What is the slope of a horizontal line?

Answer 23

0

Question 24

When the slopes get larger in size, what do you know about the line?

Answer 24

the line becomes steeper

Question 25

a line that rise from left to right

Answer 25

positive sloped lines

Question 26

a line that falls from left to right

Answer 26

negative sloped lines

Question 27

How do you write an equation of a parallel line?

Answer 27

Find the slope of the first line.
Use point-slope to plug in the slope and the point of the new line.

Question 28

How do you write an equation of a perpendicular line?

Answer 28

Find the slope of the first line.
Take the opposite reciprocal of the slope found.
Use point-slope to plug in the slope and the point of the new line.

Question 29

In the equation y = mx + b, what do m and b stand for?

Answer 29

m = slope
b = y-intercept

Question 30

How do you write a y-intercept?

Answer 30

(0, y)

Question 31

How do you write an x-intercept?

Answer 31

(x, 0)