4.1 Intro to Graphing Linear Functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope (m) represent in a linear function?

Back

The slope (m) represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept (b) in a linear function?

Back

The y-intercept (b) is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you find the missing y value in a linear function?

Back

To find the missing y value, substitute the given x value into the linear equation and solve for y.

Tags

CCSS.HSF.IF.A.2

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How can you determine if a point lies on a linear graph?

Back

To determine if a point (x, y) lies on a linear graph, substitute the x value into the linear equation and check if the resulting y value matches.

Front

What is the significance of the coordinates (1, -1) in a graph?

Back

The coordinates (1, -1) represent a specific point on the graph where x = 1 and y = -1.

Front

How do you interpret a table of values for a linear function?

Back

A table of values for a linear function shows pairs of x and y values that satisfy the linear equation. Each pair corresponds to a point on the graph.

Tags

CCSS.HSF.IF.B.4

Front

What does it mean if a linear function has a slope of 0?

Back

If a linear function has a slope of 0, it means the line is horizontal, indicating that y does not change as x changes.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between the slope and the direction of a line?

Back

A positive slope indicates the line rises from left to right, while a negative slope indicates the line falls from left to right.

Tags

CCSS.8.EE.B.5