Proportional and Non-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 a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How do you find the slope of a line given two points?

Back

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

Front

What does a slope of 2 indicate about a line?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a negative slope indicate about a line?

Back

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

Front

What is the y-intercept of the equation y = -3x - 5?

Back

The y-intercept is -5.

Front

How can you determine if a relationship is proportional from a table of values?

Back

If the ratio of y to x is constant for all pairs of values, the relationship is proportional.

Front

What is the significance of the y-intercept in a graph?

Back

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

Front

What does it mean if a relationship is described as 'not proportional'?

Back

It means that the ratio of y to x changes, indicating that the relationship does not maintain a constant ratio.