Find: Rise over Run version 2

Front

What is the definition of slope in mathematics?

Back

The slope is a measure of the steepness or incline of a line, 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 does a slope of zero mean?

Back

A slope of zero means that the line is horizontal and there is no vertical change as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line where the x-value does not change, resulting in a division by zero when calculating slope.

Front

If a line rises 3 units and runs 1 unit, what is the slope?

Back

Slope = rise/run = 3/1 = 3.

Front

If a line falls 2 units and runs 4 units, what is the slope?

Back

Slope = rise/run = -2/4 = -1/2.

Front

What is the slope of a line that goes up 1 unit and right 2 units?

Back

Slope = rise/run = 1/2.

Front

What is the slope of a line that goes down 3 units and right 1 unit?

Back

Slope = rise/run = -3/1 = -3.