Comparing Linear Functions

Front

What is the slope of a linear function?

Back

The slope of a linear function is a measure of its steepness, represented by the coefficient of x in the equation y = mx + b, where m is the slope.

Tags

CCSS.8.EE.B.5

Front

How do you determine which linear equation has a higher slope?

Back

To determine which linear equation has a higher slope, compare the coefficients of x in the equations. The equation with the larger coefficient has the higher slope.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

What is the y-intercept of a linear function?

Back

The y-intercept of a linear function is the point where the line crosses the y-axis, represented by the constant term b in the equation y = mx + b.

Front

How can you identify which linear equation has a higher y-intercept?

Back

To identify which linear equation has a higher y-intercept, compare the constant terms in the equations. The equation with the larger constant term has the higher y-intercept.

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 value of x increases, the value of y also increases, showing a direct relationship between the two variables.

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 value of x increases, the value of y decreases, showing an inverse relationship between the two variables.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in real-world applications?

Back

The slope in real-world applications represents the rate of change between two quantities, such as speed, growth rate, or cost per unit.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points on a graph?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by 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 is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope, meaning they never intersect and maintain a constant distance apart.

Tags

CCSS.8.EE.B.5