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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is 4.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5