Multiple Representations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does 'rate of change' mean in a linear relationship?

Back

The rate of change refers to how much the dependent variable (y) changes for a unit change in the independent variable (x). It is represented by the slope (m) in the equation y = mx + b.

Tags

CCSS.HSF-LE.A.1B

Front

What is the slope (m) in the equation y = 3x + 4?

Back

The slope (m) is 3, which means for every 1 unit increase in x, y increases by 3 units.

Tags

CCSS.8.EE.B.5

Front

How do you identify a proportional relationship?

Back

A proportional relationship is identified when the ratio of the dependent variable to the independent variable is constant, and the graph passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is the y-intercept in the equation y = 0.15x + 40?

Back

The y-intercept is 40, which means when x = 0, y equals 40.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not have a constant ratio between the variables and does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

Write the equation for a situation where the cost is $5 plus $2 per item purchased.

Back

y = 2x + 5, where x is the number of items.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the equation for a situation where the cost is $10 for a monthly fee plus $0.20 per minute used?

Back

y = 0.20x + 10, where x is the number of minutes.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If a table shows a constant increase of 5 in y for every increase of 1 in x, what is the slope (m)?

Back

The slope (m) is 5.

Tags

CCSS.8.EE.B.5

Front

How do you find the total cost if the cost is $3 per child and a flat fee of $5?

Back

The equation is y = 3x + 5, where x is the number of children.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2