Slope of Graphs

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

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-value increases, the y-value 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-value increases, the y-value decreases, meaning the line falls from left to right.

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

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

Back

'Rise over run' refers to the formula for calculating slope, where 'rise' is the vertical change and 'run' is the horizontal change.

Front

If a line rises 3 units and runs 4 units, what is the slope?

Back

Slope = Rise/Run = 3/4.

Front

If a line falls 2 units and runs 5 units, what is the slope?

Back

Slope = Rise/Run = -2/5.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.