Find The Slope of a Line

Front

What is the formula for calculating the slope of a line?

Back

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

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

How do you find the slope from a graph?

Back

Identify two points on the line, determine the rise and run between them, and calculate the slope using the formula.

Front

What is the slope of a line that rises 4 units and runs 2 units?

Back

The slope is 4/2 = 2.

Front

If a line has a slope of 1/2, what does this indicate about its steepness?

Back

A slope of 1/2 indicates a gentle incline; for every 2 units run horizontally, the line rises 1 unit vertically.

Front

What is the slope of a line that falls as it moves from left to right?

Back

The slope is negative.

Front

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

Back

It means that for every 1 unit the line moves to the right, it falls 1 unit.

Front

How do you interpret a slope of 7/5?

Back

For every 5 units run horizontally, the line rises 7 units vertically.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line, where the run is 0 and the slope cannot be calculated.