Multiple representations 7.4A, 7.7A Updated

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (upward or downward).

Front

What is the y-intercept?

Back

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

Front

How do you write an equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express that relationship using an equation.

Front

What does the equation y = 40x + 150 represent in Bob's savings problem?

Back

It represents the total amount of money Bob has in his savings account after saving $40 each month, starting with $150.

Front

How can you determine the equation of a line from a graph?

Back

Identify two points on the line, calculate the slope using the formula (y2 - y1)/(x2 - x1), and use one point to find the y-intercept.

Front

What is a function?

Back

A function is a relation where each input (x) has exactly one output (y). It can be represented as an equation, a table, or a graph.

Front

What does the term 'independent variable' mean?

Back

The independent variable is the variable that is changed or controlled in an experiment to test its effects on the dependent variable.

Front

What does the term 'dependent variable' mean?

Back

The dependent variable is the variable that is measured or tested in an experiment. It depends on the independent variable.

Front

How do you interpret the slope in a real-world context?

Back

The slope indicates how much the dependent variable changes for each unit increase in the independent variable.