Slope

Front

What is the definition of slope?

Back

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

Front

What is the formula to calculate slope using two points (x1, y1) and (x2, y2)?

Back

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, 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-values increase, the y-values decrease, 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, as there is no vertical change (rise) regardless of the horizontal change (run).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the horizontal change (run) is 0, leading to division by zero.

Front

How do you find the slope of a line given two points (2, 4) and (4, 6)?

Back

Front

Calculate the slope of the line passing through (2, 4) and (6, 12).

Back

Front

What is the slope of the line that passes through the points (1, 2) and (3, 5)?

Back

Front

If a line has a slope of 4/3, what does this mean?

Back

A slope of 4/3 means that for every 3 units of horizontal change (run), the line rises 4 units (rise).