Slope Basics Flashcard

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 (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope between 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-value increases, the y-value also increases, 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-value increases, the y-value decreases, meaning the line falls from left to right.

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, as there is no horizontal change.

Front

If a line has a slope of 1/2, what does this mean?

Back

This means that for every 2 units moved horizontally (run), the line moves up 1 unit vertically (rise).

Front

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

Back

The slope is 3, which indicates that for every 1 unit increase in x, y increases by 3 units.

Front

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

Back

The slope is -2, indicating that for every 1 unit increase in x, y decreases by 2 units.

Front

How can you determine if a slope is positive, negative, or zero from a graph?

Back

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