Graphing Linear Functions

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

To find the y-intercept, set x = 0 in the equation and solve for y.

The x-intercept is the point where the graph crosses the x-axis, found by setting y = 0 and solving for x.

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Two lines are parallel if they have the same slope but different y-intercepts.

The standard form is Ax + By = C, where A, B, and C are integers.

To convert, solve for y in terms of x to get y = mx + b.

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

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