Flashcards in Kevin’s Cards about 7th and 8th Grade Math Deck (118)

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1

## What is the solution to a linear equation in 2 variables

### A solution to a linear equation in 2 variables is a point: (x,y) or ordered pair

2

## How many solutions does a linear equation in two variables have

### Linear equations in 2 variables have infinitely many solutions and each solution is a point that lies on the same line as all the other solutions

3

## Ax + By = C is what equation

### Ax + By = C is a linear equation in 2 variables

4

## How do you find the solution to linear equations with 2 variables

### To find solutions to linear equations, chose a value for x, substitute the value into the equation , and solve for y. Do the same thing to solve for x with y

5

## What is the standard form of a linear equation

### The standard form of a linear equation is: Ax + By = C, where A,B, and C are integers, A is positive and B is non-zero

6

## What is the names of the point of where a line crosses the x-axis and y-axis

### The x-intercept of a graph is the x-coordinate of the point where the line intersects the x-axis. The y-intercept is the y-coordinate of the point where the graph intersects the y-axis

7

## What is a Proportional Relationship

### Proportional Relationships are a special type of linear equation when the ratio between two quantities is constant, the quantities have a proportional relationship

8

## Rate Definition

### A ratio of two quantities measured in different units

9

## In a proportional relationship between two variables increases at a constant what

### In a proportional relationship between two variables increases at a constant rate (also called a unit rate) as the other variable increases by one

10

## Ratio Definition

### A comparison of two quantities by division

11

## A proportional relationship can be modeled as what

### y = mx

12

## When is the slope (m) on a graph positive

### The slope (m) is positive if the line rises from left to right

13

## When is the slope (m) on a graph negative

### The slope (m) is negative if the line falls from left to right

14

## What is the slope (m) on a graph equal to 0

### The slope (m)is equal to 0 when the line is horizontal

15

## What is a slope

### The slope of a line is the ratio of the vertical change between any two point on the line to the horizontal change

16

## What is another name for the vertical change and the horizontal change of a line’s slope

### The vertical change is called the rise and the horizontal change is call the run

17

## What is the format for the equation for slope

### Vertical change/ Horizontal change or Rise/ Run

18

## What directions do you move when moving in a positive or negative direction on a graph

### When you move up or right you move in a positive direction. When you move down or left, you move in a negative direction

19

## What is the Formula for Slope

### y2 - y1/ x2 - x1

20

## What is the slope of a vertical line on a graph

### A slope is undefined if the line is vertical

21

## What is a hypotenuse

### The hypotenuse of a right triangle is the longest side of the triangle which is always opposite of the right angle (90 degrees)

22

## Any two points on a line are what

### Any two points on a line are the end points of a segment that, together with the rise and run, form a right triangle

23

## What can the slope of the line tell you about the rate

### The greater the slope of the line, the greater the rate. So when you compare lines, the line with the greater slope has the greater rate

24

## What does the steepness of a line on a graph tell you

### The steeper the line, the greater the slope

25

## Each form of a linear equation communicates what

### Each form quickly communicates specific information

26

## What is the point - slope form of a line useful for

### Communicating the slope of a line and one-point on the line

27

## What is Point Slope Form

### y - y1 = m(x - x1)

28

## If a number is added in point-slope form what sign is it

### It is negative

29

## A proportional relationship can be modeled as what

### y = mx

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