Writing Equations from tables

Front

What is the equation that shows the relationship between the independent and dependent variables?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a coordinate point?

Back

A coordinate point is a pair of numbers (x, y) that represent a location on a graph.

Front

How do you determine the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

What is the equation of a linear function?

Back

A linear function can be expressed in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How can you find the slope from a table of values?

Back

Calculate the difference in y-values divided by the difference in x-values between two points.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept can represent the starting value of a situation when x is zero.