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# Unit 3

### Linear Equations

TermDefinition
Variable A letter representing a changing or unknown amount. In y = 2x – 4, y and x are ______________.
Constant A term in an equation with no variable. In y = 2x – 4, 4 is a ____________.
Coefficient The number that is being multiplied by a variable. In y = 2x – 4, 2 is a ____________.
Slope The angle of a line. It is represented by Δy/Δx or rise/run.
Slope-intercept form An equation in the form y = mx + b. m is the slope and b is the y-intercept.
Standard form (of a line) An equation in the form ax + by = c. The coefficient of x (a) must be a whole number and b and c must be integers.
Horizontal A flat line running from right to left.
Vertical A line running up and down.
Parallel Two lines with the same slope. They are always the same distance from each other and never cross.
Reciprocals Two numbers that are fractions that are flipped. 2/3 and 3/2 are ____________.
Perpendicular Two lines that are at right angles to each other. There slopes are negative reciprocals of each other.
Proportional change If y/x is always the same for a function or related situation. These functions are always in the form y = kx. They are straight lines and have a y-intercept of 0.
Directly proportional If the equation for a function can be written in the form y = kx or y/x=k, its variables are considered to be ______________ proportional.
Inverse variation If x times y always equals the same number, they are said to be vary _________ or have __________ variation. These functions are always in the form xy = k or y=k/x.
Cconstant of proportionality In the equations y = kx, y/x=k, xy = k and y=k/x, k is the _________________________.
Created by: meminot