Graphing Linear Equations Concepts

The video tutorial demonstrates how to graph the linear equation y = 1/2x using two methods: creating a table of values and using the slope-intercept form. The instructor starts by selecting values for x to avoid fractions, then plots the points on a graph. The graph is verified using the slope-intercept form, confirming the line's accuracy. The tutorial concludes with a summary of the graphing process.

What is the first step in graphing the equation y = 1/2x?

• Draw the x-axis

• Create a table of values

• Find the y-intercept

• Calculate the slope

Why was the x-value of 2 chosen for the table?

• It simplifies the slope

• It results in a whole number for y

• It is the y-intercept

• It is the midpoint of the graph

What is the y-value when x is 0 for the equation y = 1/2x?

• 1

• 0

• 2

• -1

What is the significance of the line drawn through the points on the graph?

• It is the graph of the equation

• It shows the slope

• It represents the x-axis

• It marks the y-intercept

What does the slope-intercept form of a linear equation look like?

• y = b - mx

• y = mx + b

• y = x + b

• y = m + b

In the equation y = 1/2x, what is the value of b?

• 1

• -1

• 0

• 1/2

How is the slope of 1/2 interpreted in terms of rise over run?

• Down 2, over 1

• Up 1, over 2

• Up 2, over 1

• Down 1, over 2

What is the first point plotted using the slope from the y-intercept?

• (2, 1)

• (1, 2)

• (1, 1)

• (0, 0)

How can additional points be found on the line y = 1/2x?

• By using the x-intercept

• By using the slope to move up and over

• By calculating the midpoint

• By drawing a parallel line

What is the purpose of adding arrows to the ends of the line on the graph?

• To mark the x-intercept

• To indicate the line is finite

• To show the direction of the slope

• To represent the line extends infinitely