Finding slope from a graph

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward trend.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward trend.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating no change in y-values as x-values change.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line where the x-values are constant, resulting in a division by zero when calculating slope.

Front

If a line rises from left to right, what can you say about its slope?

Back

The slope is positive.

Front

If a line falls from left to right, what can you say about its slope?

Back

The slope is negative.

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.