Equations tables and graphs

Front

What is an equation?

Back

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

Front

What does the variable 'x' represent in an equation?

Back

The variable 'x' often represents the input value in a function or equation.

Front

What does the variable 'y' represent in an equation?

Back

The variable 'y' often represents the output value in a function or equation.

Front

What is a linear equation?

Back

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

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is a table of values?

Back

A table of values is a chart that shows pairs of input (x) and output (y) values for a function.

Front

What is the difference between additive and multiplicative relationships?

Back

Additive relationships involve adding a constant value, while multiplicative relationships involve multiplying by a constant factor.

Front

How can you identify a multiplicative relationship in a table?

Back

A multiplicative relationship can be identified if the ratio of the output values to the input values is constant.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x.