finding slope of a line (Slope-intercept form)

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward trend.

Front

What does a negative slope indicate about a line?

Back

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

Front

What does a zero slope indicate about a line?

Back

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

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) in the slope-intercept form.

Front

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

Back

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

Front

If a line has a slope of 3/4, what does this mean in terms of rise and run?

Back

A slope of 3/4 means that for every 4 units you move to the right (run), the line rises 3 units (rise).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (change in x) is zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero because there is no change in y as x changes.