Unit 4: Slope Review

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is zero slope?

Back

Zero slope means that there is no vertical change as the x-value changes, resulting in a horizontal line.

Front

What is an undefined slope?

Back

An undefined slope occurs when a vertical line is drawn, meaning there is no horizontal change, and the slope cannot be calculated.

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 is the y-intercept of a line?

Back

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

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, the y-value increases by 2 units.

Front

What does a slope of -1 indicate?

Back

A slope of -1 indicates that for every 1 unit increase in x, the y-value decreases by 1 unit.

Front

What is the slope of the line represented by the points (1, 2) and (3, 6)?

Back

The slope is calculated as m = (6 - 2) / (3 - 1) = 4 / 2 = 2.