Positive and Zero Slope

Front

What is the definition of slope?

Back

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

Front

What does a positive slope indicate?

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?

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 a zero slope?

Back

A zero slope indicates a horizontal line where there is no vertical change as the x-value changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where there is no horizontal change, making the slope calculation impossible.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 0, what does it look like on a graph?

Back

A line with a slope of 0 is horizontal and runs parallel to the x-axis.

Front

If a line has a slope of 1, what does it indicate?

Back

A slope of 1 indicates that for every unit increase in x, there is a corresponding unit increase in y, resulting in a 45-degree angle line.

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 slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2.