Graphing Linear Equations

Front

What is the slope-intercept form formula?

Back

Front

What does the slope represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means the line rises, negative slope means it falls).

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the general form of a linear equation?

Back

Front

What is the difference between a positive and negative slope?

Back

A positive slope indicates that as x increases, y also increases (the line rises). A negative slope indicates that as x increases, y decreases (the line falls).

Front

What does it mean if the slope of a line is zero?

Back

If the slope is zero, the line is horizontal, meaning there is no change in y as x changes.

Front

What does it mean if the slope is undefined?

Back

An undefined slope occurs in a vertical line, where x remains constant and y changes, indicating no horizontal change.

Front

How can you graph a linear equation in slope-intercept form?

Back

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope. They never intersect and maintain a constant distance apart.