Warmup 12/4

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (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 the line that passes through the points (10, -6) and (-5, 4)?

Back

The slope is -2/3.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

Identify the y-intercept from the following options: (0, 3), (3, 6), (6, 9), (-3, 0).

Back

The y-intercept is (0, 3).

Front

What is the slope of the line passing through the points (0, 4) and (1, 0)?

Back

The slope is -4.

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

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning there is no change in x as y changes.

Front

If a line has a slope of -1, what does this mean?

Back

A slope of -1 means that for every unit increase in x, y decreases by one unit, resulting in a diagonal line that falls from left to right.