ALG2 Flashcards

Flashcards about Adv Geometry!

Write LINE EQUATION for Slope Y-intercept Form

y = mx + b, where (0,b) Y-Intercept & m = slope

General Form

A linear equation formulated as Ax + By = C, where A, B, and C are constants. This format represents a straight line, with A and B not both zero.

Two-Point Form

The equation of a line determined by two points (x1, y1) and (x2, y2) is given by y - y1 = \frac{y2 - y1}{x2 - x1}(x - x1).

Slope

The ratio of the vertical change to the horizontal change between two points on a line, commonly represented as m in the slope-intercept form of a linear equation.

Horizontal Lines

Lines that have a slope of zero and run parallel to the x-axis, represented by the equation y = k, where k is a constant.

Vertical Lines

Lines that have an undefined slope and run parallel to the y-axis, represented by the equation x = h, where h is a constant.

Zero Slope

A slope of zero indicates that the line is horizontal, meaning there is no vertical change as the horizontal change occurs.

Undefined Slope

A slope that is not defined, indicating that the line is vertical, meaning there is no horizontal change as the vertical change occurs.

Positive Slope

A slope that rises from left to right, indicating that as the x-coordinate increases, the y-coordinate also increases.

Negative Slope

A slope that falls from left to right, indicating that as the x-coordinate increases, the y-coordinate decreases.