Lesson 9 - Graphing Lines Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, often represented as 'm' in the equation y = mx + b. It is calculated as the ratio of the rise (change in y) over the run (change in x).

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

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

What is the y-intercept of a line?

Back

The y-intercept is the value of y when x = 0. It indicates where the line intersects the y-axis.

Front

How do you graph a line given the equation y = mx + b?

Back

To graph the line, start at the y-intercept (0, b) on the y-axis, then use the slope (m) to find another point on the line.

Front

What is the formula for the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of -5/3, what does this indicate about the line's direction?

Back

A slope of -5/3 indicates that the line is decreasing; as x increases, y decreases.

Front

What does a slope of 0 mean for a line?

Back

A slope of 0 means the line is horizontal, indicating that y remains constant regardless of x.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant and y can take any value.

Front

How can you determine the original cost of an item from a payment plan graph?

Back

The original cost is found at the y-intercept of the graph, which represents the total amount owed before any payments.