Matching Tables/equations/graphs

Front

What is a coordinate in a Cartesian plane?

Back

A coordinate is a set of values that show an exact position. In a 2D Cartesian plane, it is represented as (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where 'm' is the slope of the line and 'b' is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set, meaning they represent the same line on a graph.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In mathematical terms, for every x in the domain, there is one and only one y in the range.

Front

How can you determine if a relation is a function from a set of ordered pairs?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

What is the difference between a linear function and a non-linear function?

Back

A linear function has a constant rate of change and can be graphed as a straight line, while a non-linear function does not have a constant rate of change and can be graphed as a curve.

Front

What is the purpose of a table in relation to functions?

Back

A table organizes pairs of input (x) and output (y) values, making it easier to identify patterns and relationships in a function.

Front

How do you match a table of values to a graph?

Back

To match a table to a graph, plot the ordered pairs from the table on the graph and see if they form a recognizable pattern or line.