Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically 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 determine 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

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.

Front

What does it mean if a function is linear?

Back

A linear function is one that can be graphically represented as a straight line. It has a constant rate of change and can be expressed in the form y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is one that does not form a straight line when graphed. Its rate of change varies and it cannot be expressed in the form y = mx + b.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

The equation is y = (2/3)x - 3.

Front

What does the term 'undefined slope' refer to?

Back

An undefined slope occurs when a line is vertical, meaning it has no defined rise over run, and cannot be expressed as a ratio.

Front

How can you identify a linear inequality?

Back

A linear inequality can be identified by its form, which is similar to a linear equation but includes inequality symbols (>, <, ≥, ≤) instead of an equal sign.

Front

What is the graphical representation of a linear inequality?

Back

The graphical representation of a linear inequality is a shaded region on one side of the line, indicating all the solutions that satisfy the inequality.