Writing Equations from Tables

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean for a quantity to be dependent?

Back

A dependent quantity is one that depends on another quantity. In a table, it is usually represented by the output values (y-values).

Front

What does it mean for a quantity to be independent?

Back

An independent quantity is one that stands alone and is not affected by other variables. In a table, it is usually represented by the input values (x-values).

Front

How do you write an equation from a table of values?

Back

To write an equation from a table, identify the relationship between the independent and dependent quantities, then express that relationship using variables.

Front

What is the slope of a linear equation?

Back

The slope is a measure of how steep a line is, calculated as the change in the y-values divided by the change in the x-values.

Front

What is the y-intercept in an equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

What does the ordered pair (x, y) represent?

Back

An ordered pair (x, y) represents a point on a coordinate plane, where x is the horizontal position and y is the vertical position.

Front

How can you determine if an ordered pair is a solution to an equation?

Back

To determine if an ordered pair is a solution, substitute the x-value into the equation and see if it results in the corresponding y-value.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).