Graphing Linear Equations and Functions

The video tutorial explains how to graph the linear equation X + 2Y = 6 using a table of values. It begins by solving the equation for Y, then selecting specific X values to avoid fractions. The tutorial demonstrates substituting these X values into the equation to find corresponding Y values, which are then plotted to verify they form a straight line. The video concludes by confirming the graph's accuracy and equivalence of the equation forms.

What is the initial equation given for graphing?

• X + 2Y = 6

• Y = X + 6

• Y = 2X + 6

• X - 2Y = 6

What is the first step in solving the equation for Y?

• Subtract X from both sides

• Add X to both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the simplified form of the equation after solving for Y?

• Y = 1/2X + 3

• Y = -1/2X + 3

• Y = -2X + 3

• Y = X/2 + 3

Why are multiples of 2 chosen for X values?

• To make calculations easier

• To avoid fractions in Y values

• To simplify the equation

• To make the graph symmetrical

What is the Y value when X is 0?

• 0

• 1

• 3

• 2

What point is on the line when X is 2?

• (2, 4)

• (2, 3)

• (2, 2)

• (2, 1)

What is the Y value when X is -2?

• 3

• 4

• 1

• 2

Which point is NOT on the line?

• (2, 2)

• (0, 3)

• (3, 3)

• (4, 1)

What is the final step to verify the line?

• Check the equation

• Plot the points

• Recalculate Y values

• Change X values

What are the two equivalent forms of the equation?

• X + 2Y = 6 and Y = X/2 + 3

• X - 2Y = 6 and Y = -1/2X + 3

• X + 2Y = 6 and Y = -1/2X + 3

• X + 2Y = 6 and Y = 2X + 3