Finding Slope Between Points

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 between two points on the line.

Front

What are the four types of slope?

Back

1. Positive Slope 2. Negative Slope 3. Zero Slope 4. Undefined Slope

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 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 about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in the y-coordinate as the x-coordinate changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning the x-coordinate does not change while the y-coordinate changes.

Front

If the slope of a line is -1/5, what does this mean?

Back

This means that for every 5 units the line moves horizontally to the right, it moves down 1 unit.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

Slope (m) = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

If a line has a slope of 0, what can you say about its equation?

Back

The equation of a line with a slope of 0 is of the form y = b, where b is the y-intercept.