Linear Tables, Graphs, and Equations

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 the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

How do you determine if a table of values is proportional?

Back

A table of values is proportional if the ratio of the dependent variable to the independent variable is constant.

Tags

CCSS.7.RP.A.2A

Front

What is the equation for a function that earns $18 per hour?

Back

y = 18x, where y is the total earnings and x is the number of hours worked.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If Taylor can write 25 words per minute, how would you express this as a linear equation?

Back

w = 25m, where w is the total words written and m is the number of minutes.

Tags

CCSS.6.EE.C.9

Front

What does it mean for a relationship to be linear?

Back

A relationship is linear if it can be represented by a straight line on a graph, indicating a constant rate of change.

Tags

CCSS.8.F.A.3

Front

What is the formula to calculate the total cost of a taxi ride with a flat rate and a per-mile charge?

Back

y = mx + b, where y is the total cost, m is the cost per mile, x is the number of miles, and b is the flat rate.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you write an equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of an equation.

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2