SLOPE

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

If a line has a slope of 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does this indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

Calculate the slope of the line passing through the points (1, 2) and (3, 4).

Back

The slope is 1.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

How do you interpret a negative slope in a line?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What is the slope of the line passing through the points (5, 10) and (5, 15)?

Back

The slope is undefined because the x-coordinates are the same.

Front

What is the slope of the line passing through the points (0, 0) and (10, 10)?

Back

The slope is 1.

Front

If the slope of a line is 2, what does this mean in terms of rise and run?

Back

For every 1 unit the line runs horizontally, it rises 2 units vertically.