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 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 the inequality x < -2 represent on a number line?

Back

It represents all numbers less than -2, which is shown as an open circle at -2 and a line extending to the left.

Front

What does the inequality x ≥ 1 represent on a number line?

Back

It represents all numbers greater than or equal to 1, shown as a closed circle at 1 and a line extending to the right.

Front

How do you solve the inequality 2x < -3x + 15?

Back

Combine like terms: 5x < 15, then divide by 5 to get x < 3.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

Back

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

Front

How do you convert from slope-intercept form to standard form?

Back

Rearrange the equation y = mx + b to the form Ax + By = C by moving all terms to one side.

Front

What is the meaning of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the meaning of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.