Equations, Tables, and Graphs

Front

What is the equation that represents a linear relationship between x and y?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the term 'OUTPUT' refer to in a function?

Back

The OUTPUT is the result or value obtained after applying the function to an INPUT.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you determine the slope of a linear equation?

Back

The slope (m) is determined by the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What does the equation y = x + 3 represent graphically?

Back

It represents a straight line with a slope of 1 and a y-intercept of 3.

Front

How can you find the missing value in a linear equation?

Back

Substitute the known value of x into the equation and solve for y.

Front

What is the relationship between input and output in a function?

Back

Each input corresponds to exactly one output, defining a functional relationship.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does the equation y = 480x indicate about the relationship between x and y?

Back

It indicates that y is directly proportional to x, with a constant of proportionality of 480.

Tags

CCSS.HSF-LE.A.1B

Front

How do you interpret a table of values in relation to a linear equation?

Back

Each row in the table represents a pair of (x, y) values that satisfy the equation.

Tags

CCSS.HSF.IF.A.1

Front

What is a function rule?

Back

A function rule describes the relationship between inputs and outputs, often expressed as an equation.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2