Slope from a Graph

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated 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-coordinate increases, the y-coordinate 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-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no vertical change as the x-coordinate changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where there is no horizontal change as the y-coordinate changes.

Front

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

Back

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

Front

If a line has a slope of 4/1, what does this mean?

Back

This means that for every 1 unit increase in the x-direction, the line rises 4 units in the y-direction.

Front

What is the slope of a line that runs horizontally?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that runs vertically?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -5/2, what does this indicate?

Back

This indicates that for every 2 units increase in the x-direction, the line falls 5 units in the y-direction.