7th Grade Slope

Front

What is a slope?

Back

The slope is a measure of the steepness or incline of a line, calculated as the change in vertical distance (rise) over the change in horizontal distance (run).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing 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, showing a downward trend.

Front

What does a zero slope indicate?

Back

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

Front

What does an undefined slope indicate?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in the x-value as the y-value 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 goes through the points (2, 3) and (4, 7), what is the slope?

Back

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

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

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

Back

This means that for every 1 unit increase in x, the y-value decreases by 1 unit.