7th: Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line goes down from left to right.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs?

Back

The slope is 3.

Front

What is the slope of a line that falls 1 unit for every 3 units it runs?

Back

The slope is -1/3.

Front

In order for a graph to represent a direct variation, the line must go through the _________.

Back

origin.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

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-coordinate increases, the y-coordinate also increases, meaning the line goes up from left to right.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.