Slope, Graphing, and Intercepts Review

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, y).

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, represented as (x, 0).

Front

How do you find the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x, or m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and does not rise or fall.

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical and does not have a defined slope value.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the rise (change in y) and run (change in x), and calculate m = rise/run.