Slope From a Graph

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, represented as a 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, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because there is no horizontal change.

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 type of slope does the line y = 3x + 2 have?

Back

The line y = 3x + 2 has a positive slope of 3.

Front

What type of slope does the line y = -2x + 5 have?

Back

The line y = -2x + 5 has a negative slope of -2.

Front

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

Back

A line with a slope of 0 is horizontal and does not rise or fall.

Front

If a line has an undefined slope, what does it look like?

Back

A line with an undefined slope is vertical and goes straight up and down.