Equations, Tables, and Graphs

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 the variable 'x' represent in an equation?

Back

The variable 'x' represents an unknown value that can be solved for in an 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, indicating how steep it 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 find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is a table of values in relation to equations?

Back

A table of values lists pairs of input (x) and output (y) values that satisfy an equation.

Front

How can you represent an equation graphically?

Back

An equation can be represented graphically by plotting points on a coordinate plane and connecting them to form a line.

Front

What is the purpose of a delivery fee in a cost equation?

Back

A delivery fee is a fixed cost added to the total cost, which does not change with the number of items purchased.

Front

If y = -x + 2, what is the y-intercept?

Back

The y-intercept is 2, which is the value of y when x = 0.