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.

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.

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.

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.

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.

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.

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.

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.