8th grade unit 2

A point that lies on the line of y = 5.5x is?

(-2, -11)

A point that lies on the line of y = -5.5x is?

(-2, 11)

A point that lies on the line of y = 11x - 2 is?

(4, 42)

A point that lies on the line of y = 11x + 2 is?

(4, 46)

what is the y-intercept for y = -2x - 1?

-1

What is the unit rate for a slope of 1.5/3?

.5/1

what is the y-intercept for y = 2x + 1?

1

What is the unit rate for a slope of 6/4?

1.5/1

What is the unit rate for a slope of 5/2?

2.5/1

What is the unit rate for a slope of 6/2?

3/1

proportional relationship

A group of ratios that are equivalent A relationship between two equal ratios

How do you you know when a system of linear equations has infinitely many solution?

Both equations has the same slope and y-intercept

How do you you know when a system of linear equations has one solution?

Both equations have different slopes but could have the same y-intercept

How do you you know when a system of linear equations has no solution?

Both equations have the same slope and different y-intercept

Solution (2, -1)

Identify the graphic solution for the system

How many solutions does the following system of linear equations have? 3x + 4y = 15 -3x + 4y = 9

One solution

What is the rate of change (30, 4) and (20, 6)?

The rate of change is -1/5

What is the rate of change (0, 50) and (2, 40)?

The rate of change is -5

What is the rate of change (40, 0) and (60, 4)?

The rate of change is 1/5

What is the rate of change (0, 30) and (4, 50)?

The rate of change is 5

slope

The steepness of a line on a graph

The graphs have one solution

What type of solution is the system of linear ?

Infinitely many solutions

What type of solution is the system of linear equations?

The graphs have no solution

What type of solution is the system of linear equations?

y = 4/3x - 6

Write the equation of the graph in slope intercept form.

rate of change

describes how a quantity is changing over time

Another name for slope other than steepnes

hypotenuse

How many solutions does the following system of linear equations have? 2x + 3y = 8 4x + 6y = 16

infinitely many solutions

what is the slope of (-2, 6) and (5, 3)?

m = -3/7

What is the slope (-2, -6) and (-5, 1)?

m = -7/3

Solve by elimination

multiply first by something to get rid of one variable then add equations together and sub answer into first equation

How many solutions does the following system of linear equations have? x + 2y = 6 -x -2y = 12

no solution

substitute

replace, To put a number in place of a variable

The table of values represents a linear function (2, 75) (4, 51) (6, 27) (8, 3) What is the rate of change?

the rate of change is -12

The table of values represents a linear function (8, 85) (16, 61) (24, 37) (32, 13) What is the rate of change?

the rate of change is -3

The table of values represents a linear function (2, 18) (4, 36) (6, 54) (8, 72) What is the rate of change?

the rate of change is 9

x-intercept

the x-coordinate of a point where a graph crosses the x-axis

y-intercept

the y-coordinate of a point where a graph crosses the y-axis

eliminate

to remove or get rid of

What is the x-coordinate for the following system of equations? 9x - y = -25 -2x + y = -17

x = -6

What is the x-coordinate for the following system of equations? 2x - y = -4 2x + y = 4

x = 0

What is the x-coordinate for the following system of equations? -5x - y = -4 2x + y = -5

x = 3

What is the equation of the line that passes through the points (1, 1) and (4, 7)?

y = -2x + 15

What is the equation of the line that passes through the points (1, 1) and (0, 3)?

y = -2x + 3

What is the equation of the line that passes through the points (3, 9) and (4, 7)?

y = -2x + 3

What is the y-coordinate for the following system of equations? -6x + 7y = 5 6x - 2y = -20

y = -3

What is the linear equation of (5, 0) and (3, 6)?

y = -3x + 15

This table of values represents a linear function: (2, -9) (3, -12) (7, -24) write the equation in the form y = mx + b.

y = -3x - 3

What is the equation of the line with a slope of -8 and a y-intercept of 1/4?

y = -8x + 1/4

What is the equation of the line with a slope of 2/4 and a y-intercept of 8

y = 1/2x + 8

This table of values represents a linear function: (1, 2) (3, 3) (4, 5) write the equation in the form y = mx + b.

y = 1/2x - 1

What is the equation of the line with a slope of 1/4 and a y-intercept of -8?

y = 1/4x - 8

What is the equation of the line that passes through the points (3, 9) and (0, 3)?

y = 2x + 3

What is the equation of the line with a slope of 4/2 and a y-intercept of 8?

y = 2x + 8

What is the linear equation of (3, 5) and (1, 1)?

y = 2x - 1

What is the y-coordinate for the following system of equations? 3x - 4y = -7 -3x + y = -5

y = 4

What is the equation of the line that passes through the points (3, 9) and (0, -3)?

y = 4x - 3

What is the y-coordinate for the following system of equations? 2x + y = 4 -2x + y = 6

y = 5

What is the equation of the line with a slope of o and y-intercept of 6?

y = 6

What is the equation of the line with a slope of 6 and y-intercept of 0?

y = 6x

This table of values represents a linear function: (4, 6) (6, 8) (7, 9) write the equation in the form y = mx + b.

y = x + 2

What is the equation of the line that passes through the points (4, 7) and (0, 3)?

y = x + 3

What is the equation of the line with a slope of -8 and a y-intercept of 1/4?

y= -8x + 1/4