8th Grade/Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Tags

CCSS.7.RP.A.2A

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

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

Front

What is the difference between proportional and non-proportional relationships?

Back

In proportional relationships, the ratio of y to x is constant, while in non-proportional relationships, this ratio changes.

Tags

CCSS.7.RP.A.2D

Front

What does the term 'slope-intercept form' mean?

Back

Slope-intercept form is a way of writing the equation of a line as 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

How can you identify a non-proportional relationship from an equation?

Back

A non-proportional relationship can be identified if the equation includes a constant term (e.g., y = x + 3).

Tags

CCSS.7.RP.A.2C

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope of the line is 4.

Tags

CCSS.8.EE.B.5

Front

If the slope of a line is negative, what does that indicate about the relationship between x and y?

Back

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

Tags

CCSS.8.EE.B.5