Understanding Linear Patterns

This video tutorial introduces linear patterns, explaining how to identify and plot them on a Cartesian plane. It covers the relationship between x and y values, demonstrating how to recognize linear patterns through graph plotting. The tutorial also explains how to use tables to represent coordinates and identify patterns, providing a practical guide to plotting graphs from tables. By the end, students should understand how to identify linear relationships and plot them accurately.

What is the first step in understanding linear patterns?

• Identifying x and y values

• Memorizing formulas

• Drawing graphs

• Reading and underlining the heading

In a linear pattern, how are the x and y values related?

• They are unrelated

• They are always equal

• They follow the same rule

• They are inversely proportional

What does a straight line on a Cartesian plane indicate?

• A linear pattern

• A circular pattern

• A random pattern

• A quadratic pattern

How can coordinates that form a pattern be represented?

• In a graph

• In a list

• In a table

• In a paragraph

What is the rule for the pattern where x increases by 1 and y decreases by 2?

• Y decreases by 1

• Y decreases by 2

• Y remains constant

• Y increases by 2

What happens to the y value when x increases by 1 in the example given?

• Y increases by 1

• Y remains the same

• Y increases by 2

• Y decreases by 1

What is the relationship between x and y in the example where x is -4 and y is -2?

• Y is always double x

• Y is always half of x

• Y decreases by 1 as x increases by 1

• Y increases by 1 as x increases by 1

What is the next point if x is 2 and y is 4 in the given pattern?

• (2, 5)

• (3, 4)

• (2, 3)

• (3, 5)

What is the first step in plotting points from a table on a Cartesian plane?

• Identify the x-axis

• Plot the x values first

• Plot the y values first

• Identify the y-axis

What does it mean if plotted points form a straight line?

• The pattern is circular

• The pattern is linear

• The pattern is random

• The pattern is non-linear