1- Slope Review

Front

What is the definition of slope?

Back

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

Front

How do you calculate 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 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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would involve division by zero.

Front

How do you find the y-intercept of a line from its equation in slope-intercept form?

Back

In the slope-intercept form, y = mx + b, the y-intercept is the value of b, where the line crosses the y-axis.

Front

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

Back

The y-intercept is 3, which means the line crosses the y-axis at the point (0, 3).

Front

If a line has a slope of -5/3, what does this tell you about its direction?

Back

A slope of -5/3 indicates that the line falls steeply from left to right.

Front

What is the slope of the line represented by the points (1, 2) and (4, 5)?

Back

Using the slope formula, m = (5 - 2) / (4 - 1) = 3/3 = 1.