Identifying Slope From a Graph

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, often 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 about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

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, meaning the line falls from left to right.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line where there is no change in y-values as x-values change.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line where there is no change in x-values as y-values change.

Front

How is slope calculated using two points (x1, y1) and (x2, y2)?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

What is the slope of the line represented by the equation y = -rac{1}{4}x + 5?

Back

The slope of the line is -rac{1}{4}.

Front

If a line has a slope of 3, what does this mean in terms of rise over run?

Back

A slope of 3 means that for every 1 unit you move horizontally (run), the line rises 3 units (rise).

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.