Chapter 4 Equations of Linear Functions Review

Front

What is the inverse of a function f(x)?

Back

The inverse of a function f(x) is a function f^-1(x) that reverses the effect of f(x). For example, if f(x) = y, then f^-1(y) = x.

Front

What is the slope of a line?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that one line's slope is the negative reciprocal of the other's.

Front

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

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

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

Back

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

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 equation y = mx + b.

Front

How do you find the slope of a line given two points?

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the two points.

Front

What is the formula for the slope of a line?

Back

The formula for the slope of a line is m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope of a line that is parallel to y = 3x + 2 is 3.