Writing Linear Functions

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x). It indicates how much y changes for a unit change in x.

A relation is a function if every input (x value) has exactly one output (y value).

Range.

Domain.

$$h(-3) = 4(-3) - 1 = -12 - 1 = -13$$ .

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

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

A function is a specific type of relation where each input has one and only one output.

'Linear' refers to a relationship that can be graphically represented as a straight line.

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