Warmup 1/2

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

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

Given the points (2, 3) and (4, 7), what is the slope?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y 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 x increases, y decreases, meaning the line falls from left to right.

Front

If the slope of a line is -1/2, what does this mean in terms of rise and run?

Back

For every 2 units you move to the right (run), the line goes down 1 unit (rise).

Front

Calculate the slope of the line that connects the points (1, 2) and (3, 4).

Back

The slope is 1, calculated as (4 - 2) / (3 - 1).

Front

What is the slope of the line that passes through the points (0, 0) and (5, 5)?

Back

The slope is 1, calculated as (5 - 0) / (5 - 0).