Graphing Linear Equations Concepts

This video tutorial explains how to graph linear equations using a table of values. It covers the steps of choosing input values, substituting them into the equation, writing ordered pairs, and plotting these points on a graph. The tutorial includes examples of graphing equations like y = 3x - 2 and y = 2/3x - 1, emphasizing the importance of selecting appropriate input values to avoid fractions. The video aims to help learners understand the process of graphing linear equations and checking their work for accuracy.

What is the purpose of selecting more than two input values when graphing a linear equation?

• To make the process faster

• To check for errors in calculations

• To ensure the line is straight

• To make the graph more colorful

Why is it recommended to include zero as one of the input values?

• It is always the midpoint

• It simplifies calculations

• It makes the graph symmetrical

• It is the only value that works

What is the next step after substituting input values into the equation?

• Plotting the points on the graph

• Finding the slope of the line

• Recording the output values in a table

• Writing the equation in slope-intercept form

How do you form ordered pairs from the table of values?

• By subtracting the output from the input

• By multiplying the input and output values

• By pairing each input with its corresponding output

• By adding the input and output values

What is the significance of plotting three points when graphing a line?

• To create a triangle

• To ensure the points form a straight line

• To find the midpoint of the line

• To make the graph more detailed

In the example with y = 3x - 2, what is the y-value when x is 0?

• 2

• 3

• 0

• -2

Why is it important to select multiples of the denominator when dealing with fractions in linear equations?

• To make the graph look better

• To avoid fractions in the output

• To increase the number of points

• To simplify the equation

What is the y-value when x is 3 in the equation y = 2/3x - 1?

• 3

• 1

• 0

• 2

What is the ordered pair for x = -3 in the equation y = 2/3x - 1?

• (-3, 1)

• (-3, 2)

• (-3, 0)

• (-3, -3)

What is the benefit of using a table of values to graph a linear equation?

• It makes the process faster

• It allows for more complex equations

• It eliminates the need for a graph

• It provides a visual check for accuracy