Graphing Lines Review

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. It is calculated as the change in y divided by the change in x (rise over run).

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 slope of a line that is perpendicular to y = 3x - 5?

Back

The slope of a line that is perpendicular to y = 3x - 5 is -1/3, since perpendicular lines have slopes that are negative reciprocals of each other.

Front

What is the slope of a line that is parallel to y = 3/2x + 4?

Back

The slope of a line that is parallel to y = 3/2x + 4 is also 3/2, as parallel lines have the same slope.

Front

Back

The y-intercept is -1, which is the value of y when x = 0.

Front

How do you find the slope from 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 standard form of a linear equation?

Back

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

Front

What does the term 'y-intercept' refer to?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the difference between a positive slope and a negative slope?

Back

A positive slope indicates that as x increases, y also increases, while a negative slope indicates that as x increases, y decreases.

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.