Linear Functions & Systems of Linear Equations, Solving Systems of Linear Equations, Standard Form to Slope Intercept Form, Slope From a Graph, Table, or Two Points

-2

Find the slope of the line

-2/3

Find the slope of the line

0

Find the slope of the line

1

Find the slope of the line

2

Find the slope of the line

50

Find the slope of the line

5/4

Find the slope of the line passing through the two points: (-2,3) and (-18,-17)

Undefined!

Find the slope of the line passing through the two points: (-2,6) and (-2,-17)

1/7

Find the slope of the line passing through the two points: (15, -10) and (1, -12)

-1/3

Find the slope of the line passing through the two points: (19, -14)) and (7, -10))

10

Find the slope of the red line

(2, 2)

Solve by elimination

Infinite Number of Solutions

Solve by elimination

No Solution

Solve by elimination

(-1, 1)

Solve by graphing

(-3, 2)

Solve by graphing

(-3, 3)

Solve by graphing

(-4, -1)

Solve by graphing

(-4, 4)

Solve by graphing

(1, -2)

Solve by graphing

(3, 2)

Solve by graphing

(3, 3)

Solve by graphing

(-2, -1)

Solve by substitution

(-2, -4)

Solve by substitution

(0, 3)

Solve by substitution

(3, -8)

Solve by substitution

Infinite Number of Solutions

Solve by substitution

No Solution

Solve by substitution

y = 0.22x + 17.4

The US Bureau of the Census predicts that the population of Florida will be about 17.4 million in 2010 and then will increase by about 0.22 million per year until 2025. Write the equation that models the population (y) to the year since 2010 (x).

2X+4Y=68

There are 68 legs in a barn. Of them, there are chickens and cows. Write the equation for the amount of legs in the barn.

V=Vertical U=Line has an undefinted slope X= The equation for the line is x=#

What does VUX stand for?

m = 0

What is the slope of a horizontal line?

-2

What is the slope of a line parallel to: y = -2x + 5

-3

What is the slope of a line parallel to: y = -3x - 3

Undefined

What is the slope of a vertical line?

b = 7

What is the y-intercept of the following line: y = 7 + 5/3x

The lines will never cross and their slopes are the same!

What is true about parallel lines?

negative

What type of slope is this?

positive

What type of slope is this?

undefined

What type of slope is this?

x = -3

Write an equation for the given line in slope-intercept form (solved for y).

y = -2/3x - 2

Write an equation for the given line in slope-intercept form (solved for y).

y = 1/3x

Write an equation for the given line in slope-intercept form (solved for y).

y = 2

Write an equation for the given line in slope-intercept form (solved for y).

y = x + 1

Write an equation for the given line in slope-intercept form (solved for y).

x + 2y = 84

Your basketball team scores 84 points with no 3-point baskets. Each free throw (x) is worth 1 point. Each field goal (y) is worth 2 points. Write the equation that models the different amounts of free throw and 2 point shots your team made.

-1/4

(-12, -5) (0, -8)

11/17

(-19, -6) (15, 16)

-1/14

(-3, 1) (-17, 2)

-30

(12, -18) (11, 12)

y = -10x + 100

Bill is repaying a $100 loan at $10 per week. Write the equation that models the amount left to pay back (y) to the weeks (x).

2/3

Find the slope of the graph

20

Find the slope of the green line

-1

Find the slope of the line

-1/2

Find the slope of the line

y = 2.2x + 46.7

From 1994 through 1997, the cost of owning and operating a car per mile increased by about 2.2 cents per year. In 1994 (year 0), it cost about 46.7 cents per mile. Write the equation that models the cost (y) of owning and operating a car per mile to the years (x).

The slope is -6.

Given the equation: y = 6 - 6x What is the slope?

The y-intercept is where the line crosses the y-axis.

How do you identify the y-intercept of a line by looking at the graph?

y = 28x + 10

Renting a canoe costs $10 plus $28 per day. Write the equation that models the cost of renting a canoe (y) to the days rented (x).

(-4, 6

Solve by elimination

(0, -7)

Solve by elimination

(1, 2)

Solve by elimination

y = 25x + 40

The concert is $25 per ticket and the cost of parking is $40. Write the equation that models the total cost of the attending the concert (y) to the number of tickets purchased (x).

15x + 25y = 315

The math club goes to an amusement park. Student tickets cost $15 each. Non-student tickes cost $25. The club paid $315 for tickets. Write the equation that models the different amounts of student and non-student tickets the math club can buy.

p+n=50

There are 50 coins that are pennies and nickels

H=Horizontal O=Line has a slope of zero Y=The equation for the line is a y=#

What does HOY stand for?

10x + 5y = 30

You and a friend have $30 to spend at a health center. It costs $10 an hour to use the racquetball court and $5 an hour to use the tennis court. Write the equation that models the different amounts of time you can spend playing racquetball and tennis.

2x + 1.25y = 10

You are buying vegetables to make a vegetable tray for a party. You buy $10 worth of cauliflower and broccoli. The cauliflower (x) costs $2 per pound and the broccoli (y)costs $1.25 per pound. Write the equation that models the different amounts of vegetables you can buy.

6x + 4y = 36

You have $36 to spend on posters for your bedroom. You can buy a large poster (x) for $6 and a small poster (y) for $4. Write the equation that models the different amounts of small and large posters you can buy.

11x + 3y = -12

y = -11/3x -4

5x - 2y = -16

y = 5/2 x + 8

5x - 7y = -21

y = 5/7 x + 3

7x - 16y = -8

y = 7/16x + 1/2

7x - y = 13 (Write in slope-intercept form)

y = 7x - 13

x = 2

x = 2

4x + y = -2 (Write in slope-intercept form)

y = -4x - 2

x = 4

x = 4

9x - 2y = 10

y - 9/2x - 5

2x + 4y = -12 (Write in slope-intercept form)

y = (-1/2)x - 3

x + 5y = 12 (Write in slope-intercept form)

y = (-1/5)x + 12/5

3x + 2y = 6 (Write in slope-intercept form)

y = (-3/2)x + 3

4x + 7y = 6 (Write in slope-intercept form)

y = (-4/7)x + 6/7

5x + 3y = -8 (Write in slope-intercept form)

y = (-5/3)x - 8/3

8x + 3y = -15 (Write in slope-intercept form)

y = (-8/3)x - 5

3x - 6y = 9 (Write in slope-intercept form)

y = (1/2)x - 3/2

x - 3y = -9 (Write in slope-intercept form)

y = (1/3)x + 3

x - 6y = -12 (Write in slope-intercept form)

y = (1/6)x + 2

5x - 4y = 7 (Write in slope-intercept form)

y = (5/4)x - 7/4

3x + 4y = -32

y = -3/4x - 8

4x + 7y = 35

y = -4/7x + 5

5x + y = -2

y = -5x - 2

13x - 2y = 12

y = 13/2 x - 6

3x - 4y = 8

y = 3/4x - 2