Writing and Graphing Linear Equations from Tables

This video tutorial teaches how to write linear equations from tables and graph them. It covers the slope-intercept form, determining if a set of values is a function, finding the slope and y-intercept, and graphing the resulting linear equations. The tutorial emphasizes understanding the relationship between inputs and outputs and how to represent them graphically.

What is the standard form of a linear equation mentioned in the video?

• y = bx + m

• x = my + b

• y = mx - b

• y = mx + b

How do you verify if a set of data from a table represents a function?

• Each input has exactly one output

• Each output has exactly one input

• Each input is paired with multiple outputs

• No inputs are paired with outputs

In the example, what operation is performed to find y from x in the first table?

• Addition of 5

• Subtraction of 5

• Division by 5

• Multiplication by 5

What is the slope (rate of change) in the second example?

• 6

• 4

• 3

• 2

How is the y-intercept determined in the examples?

• By adding the slope to y

• By setting x to zero

• By choosing a pair of values and solving

• By multiplying the slope with x

What is the equation derived from the third table of values?

• y = 3x - 1

• y = -3x + 1

• y = 3x + 1

• y = -3x - 1

What does the slope of -3 indicate about the line's direction?

• It is horizontal

• It falls to the right

• It is vertical

• It rises to the right

What is the significance of the ordered pairs in graphing?

• They represent maximum and minimum points

• They determine the axis of symmetry

• They are points through which the line passes

• They indicate the curvature of the graph

Why are linear equations important in mathematics?

• They represent curved lines

• They are used only in advanced mathematics

• They help in understanding relationships between variables

• They have no real-world applications

What does the graph of a linear equation always produce?

• A curved line

• A straight line

• An ellipse

• A circle