Comparing Linear Functions

Front

What is the definition of slope in a linear function?

Back

The slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Tags

CCSS.8.EE.B.5

Front

How do you determine which linear function has a greater slope?

Back

Compare the slope values (coefficients of x) of the functions. The function with the larger slope value has a greater slope.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

If a linear function has a slope of 0, what does this mean?

Back

A slope of 0 means the line is horizontal, indicating that the y-value does not change as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

In the context of a real-world scenario, what does the slope represent?

Back

The slope represents the rate of change or the cost per unit in a real-world context, such as cost per hour or price per item.

Tags

CCSS.8.EE.B.5

Front

How can you visually compare the slopes of two linear functions on a graph?

Back

By plotting both lines on the same graph, you can visually assess which line is steeper (greater slope) and which is flatter (lesser slope).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear function?

Back

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

Front

How do you find the y-intercept from the slope-intercept form of a linear equation?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3