10/19 Slope from Graphs

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 vertical distance (rise) divided by 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 is the slope of a line that rises 3 units for every 10 units it runs?

Back

The slope is 3/10.

Front

What is the slope of a line that falls 5 units for every 4 units it runs?

Back

The slope is -5/4.

Front

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

Back

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

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 1/3, what does this mean?

Back

For every 3 units moved horizontally, the line moves up 1 unit.

Front

What is the slope of a line that has a steep incline?

Back

A steep incline has a slope greater than 1.