Equations from 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' represents an unknown value that can change or vary in an equation.

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

Back

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

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

How do you determine the slope from a table of values?

Back

The slope can be determined by finding the change in y divided by the change in x between two points.

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

If y = 3x, what is the value of y when x = 2?

Back

When x = 2, y = 3(2) = 6.

Front

What does a graph of a multiplicative relationship look like?

Back

A graph of a multiplicative relationship typically curves upward or downward, showing exponential growth or decay.

Front

What is the equation represented by the table: (1, 6), (2, 7), (3, 8)?

Back

The equation is y = x + 5.