A15 - Slope 2

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, meaning the line rises from left to right.

Front

What does a negative slope indicate?

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 zero, as there is no vertical change regardless of the horizontal change.

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

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

Back

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

Front

What is the slope of the line that passes through the points (0, -2) and (3, -4)?

Back

The slope is -2/3.

Front

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

Back

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

Front

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

Back

The slope of a perfectly flat line is zero.

Front

What is the slope of a line that goes down from left to right?

Back

The slope of a line that goes down from left to right is negative.