C3.Mod 2 Topic 2 Review

Front

What is the slope of a line?

Back

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

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) in the equation of a line (y = mx + b), where b is the y-coordinate of the point.

Front

What does it mean for a line to be proportional?

Back

A line is proportional if it passes through the origin (0,0) and has a constant slope. This means that as one variable increases, the other variable increases at a constant rate.

Front

What does it mean for a line to be non-proportional?

Back

A line is non-proportional if it does not pass through the origin. This means there is a fixed value (y-intercept) where the line crosses the y-axis.

Front

How do you find the slope from two points?

Back

To find the slope (m) from two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

The y-intercept of the line is (0, 5).

Front

How can you identify the slope from a graph?

Back

The slope can be identified from a graph by selecting two points on the line, calculating the rise (change in y) and run (change in x), and then using the formula m = rise/run.

Front

What is the slope of the line represented by the equation y = 4x - 12?

Back

The slope of the line is 4.