Q:

What is a linear pattern?

A:

A linear pattern exists if the points that make it up form a straight line. In mathematics, a linear pattern has the same difference between terms. The patterns replicate on either side of a straight line.

Keep Learning

Credit: Betsie Van der Meer The Image Bank Getty Images

An example is a line of the form y = mx + c, with (x, y) coordinates (1, 5), (2, 7) and (3, 9). In the example, the difference between the x coordinates of any two consecutive terms is 1, as given by 2 - 1 or 3 - 2. Similarly, the difference in the y coordinates is 2 (7 - 2 or 9 - 7). Based on observation, it’s possible to predict any other possible coordinates of the linear pattern. For example, the next coordinates after (3, 9) are (3 + 1, 9 + 2) or (4, 11). It’s also possible to identify a mathematical relationship between the x and y coordinates of a linear equation with points (1, 2), (2, 4) and (3, 6). If x = 1, y =2 and x =2, y = 4, then y is twice x, which is represented algebraically as y = 2x.

Similar patterns are spotted in weaving, beading paper and music that has a linear beat. Stripes on clothing, footprints and zippers show linear patterns as well. The passage of the day and seasonal changes exhibit repetition that’s consistent with linearity.

Sources:

Related Questions

• A: A triangular number is one that can be represented as a regular, triangle-shaped grid of equally spaced points having one element in the first row and an a... Full Answer >
Filed Under:
• A: The better-known forms of motion include rotary motion (turning round in a circle), linear motion (moving in a straight line), reciprocating motion (moving... Full Answer >
Filed Under:
• A: A number line is a straight line that graphically represents real numbers as a series of points whose distance from an origin or "zero point" is proportion... Full Answer >
Filed Under:
• A: Non-collinear points are any group of three or more points that do not fall on the same straight line. More than two points in the group are needed for non... Full Answer >
Filed Under:
PEOPLE SEARCH FOR