Unit 3 Slope

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a fraction (rise over run).

Front

How is slope represented in a linear equation?

Back

Slope is represented as 'm' in the slope-intercept form of a linear equation, which is y = mx + b.

Front

What does a positive slope indicate about a line?

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 does a negative slope indicate about a line?

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 the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented as (0, 0).

Front

How can you determine if a line has a positive, negative, or zero slope by looking at its graph?

Back

A line with a positive slope rises from left to right, a line with a negative slope falls from left to right, and a horizontal line has a slope of zero.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope means the line is vertical, and it does not have a defined rise over run.