Function Basics
A relation that pairs each input with exactly one output.
Function
The standard form of a linear equation.
Ax + By = C
The ratio of the rise (change in y) to the run (change in x).
Slope
The name for the equation form y = mx + b.
Slope Intercept Form
Two lines in the same plane that never intersect.
Parallel Lines
You can use this test to determine if a graph represents a function.
Vertical Line Test
To find this, you let y = 0 and solve for x.
X intercept
A line with this type of slope rises from left to right.
Positive Slope
In the equation y = mx + b, this letter represents the y-intercept.
b
Parallel lines have the same one of these.
Slope
The set of all possible input values (x-coordinates) of a function.
Domain
The graph of y = a is this type of line.
Horizontal Line
A line with this type of slope falls from left to right.
Negative Slope
The name for the equation y - y₁ = m(x - x₁).
Point Slope Form
Two lines that intersect to form right angles.
Perpendicular Lines
In the function y = -3x + 12, this variable is the dependent variable.
y
The graph of x = b is this type of line.
Vertical Line
The slope of the line passing through (0, -5) and (8, -5).
0
The two pieces of information needed to use point-slope form.
Point and Slope
The slopes of perpendicular lines are this.
Negative Reciprocals
The meaning of f(6) = 58 in the context of f(t) being the outside temperature t hours after 6 AM.
6 hours after 6 AM (at noon), the temperature is 58°F
The y-intercept of the equation 3x + 4y = 12.
(0,3)
The slope of a vertical line.
Undefined
The slope-intercept form of the equation that passes through points (1, 2) and (3, -2).
y = -2x + 4
The slope of a line perpendicular to y = ½x + 3.
-2