Finding Slope from a Graph Flashcard

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically 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, resulting in 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, resulting in a downward trend.

Front

What is zero slope?

Back

Zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What is undefined slope?

Back

Undefined slope occurs in vertical lines where the x-value does not change, leading to a division by zero in the slope formula.

Front

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

Back

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

Front

If a line goes down from left to right, what type of slope does it have?

Back

It has a negative slope.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

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

Back

This means that for every 1 unit the line moves to the right, it moves down 2 units.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.