Linear Relationships Review

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

What does it mean for a linear relationship to be proportional?

Back

A linear relationship is proportional if it passes through the origin (0, 0), meaning the y-intercept is 0.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the slope of a line?

Back

The slope (m) is found by taking the change in y (rise) over the change in x (run) between two points on the line.

Front

What is the formula for slope?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate?

Back

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

Front

What is constant proportionality?

Back

Constant proportionality is the ratio of y to x in a proportional relationship, represented as k in the equation y = kx.

Front

How do you calculate constant proportionality?

Back

To calculate constant proportionality, divide the value of y by the value of x (k = y/x).

Front

What is a nonproportional relationship?

Back

A nonproportional relationship does not have a constant ratio between y and x and does not pass through the origin.

Front

If a table shows values of x and y, how can you determine if the relationship is proportional?

Back

Check if the ratio y/x is constant for all pairs of values; if it is, the relationship is proportional.