Proportional Tables

Front

What is a proportional table?

Back

A proportional table is a table that shows two quantities that are proportional to each other, meaning that as one quantity increases, the other quantity increases at a constant rate.

Front

What does slope represent in a proportional table?

Back

Slope represents the rate of change between two variables in a proportional relationship, calculated as the change in the y-value divided by the change in the x-value.

Front

How do you calculate the slope from a proportional table?

Back

To calculate the slope, take two points from the table (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line if it rises 4 units for every 1 unit it runs?

Back

The slope is 4.

Front

What is the slope of a line if it rises 3.5 units for every 1 unit it runs?

Back

The slope is 3.5.

Front

What is the slope of a line if it rises 0.75 units for every 1 unit it runs?

Back

The slope is 0.75.

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

If the slope of a line is 3, what is the equation of the line if it passes through the origin?

Back

The equation is y = 3x.

Front

What does it mean if the slope is undefined?

Back

An undefined slope means that the line is vertical, indicating that there is no change in the x-value.

Front

What is the relationship between the slope and the steepness of a line?

Back

The greater the absolute value of the slope, the steeper the line. A positive slope indicates an upward trend, while a negative slope indicates a downward trend.