Graphing Linear Equations Concepts

Mr. Buffington explains how to graph a line using a table of values. He starts by introducing the concept and then demonstrates how to rearrange an equation to solve for y. The video continues with filling in a table of values by substituting x values to find corresponding y values. Mr. Buffington then shows how to plot these points on a graph and draw a line through them, emphasizing the importance of accuracy and using multiple points to ensure the line is correct.

What is one method to graph a line when given an equation in standard form?

• Using a bar graph

• Using a table of values

• Using a pie chart

• Using a histogram

Why is it important to have at least three points when graphing a line?

• To confuse the viewer

• To use more paper

• To make the graph colorful

• To ensure the line is straight

What does a table of values consist of?

• Columns for X and Y values

• Rows for Z values

• A single column for X values

• A single column for Y values

What is the first step in rearranging the equation 6X + 3Y = 12 to solve for Y?

• Divide both sides by 6

• Subtract 6X from both sides

• Multiply both sides by 3

• Add 6X to both sides

After subtracting 6X from both sides, what is the next step to isolate Y?

• Multiply both sides by 3

• Divide both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

What is the rearranged equation for Y in terms of X?

• Y = 2X - 4

• Y = -2X - 4

• Y = 2X + 4

• Y = -2X + 4

What is the Y value when X is 0 in the equation Y = -2X + 4?

• 4

• 0

• 2

• -2

What is the Y value when X is 1 in the equation Y = -2X + 4?

• -2

• 2

• 4

• 0

What is the Y value when X is 2 in the equation Y = -2X + 4?

• 0

• 2

• -2

• 4

What is the Y value when X is 3 in the equation Y = -2X + 4?

• 4

• 2

• 0

• -2