Proportional VS Nonproportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases or decreases, the other does so in a consistent manner. The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. This means that as one quantity changes, the other does not change in a consistent way. The graph of a non-proportional relationship does not pass through the origin.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables plotted on the graph. It indicates how much one variable changes for a unit change in the other variable.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes. This represents a constant value.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in the x-value as the y-value changes. This represents a situation where the x-value is constant.

Front

What is the y-intercept of a line?

Back

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

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

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

Back

A relationship is non-proportional if the ratios of the corresponding values are not constant or if the y-intercept is not zero.

Front

What is the formula for finding the slope of a line?

Back

The formula for finding the slope (m) of a line is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

If a line has a slope of 2, what does this mean?

Back

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