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.

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.

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.

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).

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.

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.

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).

Front

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

Back

The slope of the line is 4.

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.