Comparing Functions

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, y).

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

How do you determine the slope from an equation in the form y = mx + b?

Back

The slope is represented by 'm' in the equation.

Tags

CCSS.8.EE.B.5

Front

What is the difference between a positive slope and a negative slope?

Back

A positive slope indicates that as x increases, y increases; a negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.6

Front

What does it mean if two lines intersect?

Back

If two lines intersect, they have different slopes and will cross at one point.

Tags

CCSS.8.EE.C.8A

Front

How can you compare the slopes of two linear equations?

Back

Compare the coefficients of x in the equations; the larger coefficient indicates a steeper slope.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in real-world scenarios?

Back

The y-intercept can represent the starting value in a situation, such as initial cost or starting population.

Tags

CCSS.HSF.LE.B.5

Front

Given the equations y = 2x + 3 and y = 3x - 3, which has a greater slope?

Back

The equation y = 3x - 3 has a greater slope.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9