Slope & Intercepts

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

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

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

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the y-intercept in the equation y = -4x + 7?

Back

The y-intercept is (0, 7).

Front

How do you find the x-intercept of a line?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the x-intercept of the equation y = 3x - 9?

Back

The x-intercept is (3, 0).

Front

What does it mean if a line has a slope of zero?

Back

A slope of zero means the line is horizontal and does not rise or fall as x changes.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope means the line is vertical, and it does not have a defined rise/run.