Graphing Linear Functions with Intercepts

This video tutorial explains how to graph linear functions using the x and y intercept method. It provides an overview of the method and demonstrates it with two examples: solving the equations 2x + 4y = 12 and 3x - 2y = 6. The tutorial emphasizes the importance of finding intercepts by substituting zero for x and y, and then graphing the resulting points to draw the line. The video aims to ensure viewers are comfortable with this graphing technique.

What is the primary method discussed in this lesson for graphing linear functions?

• Slope-intercept method

• Quadratic method

• Point-slope method

• X and Y intercept method

What is the first step in finding the Y-intercept?

• Plugging in 0 for Y

• Plugging in 0 for X

• Solving for X

• Graphing the points

After plugging in 0 for X in the equation 2x + 4y = 12, what is the next step?

• Add 4 to both sides

• Divide each side by 2

• Multiply both sides by 2

• Solve for Y

What is the Y-intercept of the equation 2x + 4y = 12?

• (3, 0)

• (0, 3)

• (6, 0)

• (0, 6)

What is the first step in finding the X-intercept?

• Graphing the points

• Plugging in 0 for Y

• Plugging in 0 for X

• Solving for Y

After plugging in 0 for Y in the equation 2x + 4y = 12, what is the next step?

• Solve for X

• Multiply both sides by 2

• Add 4 to both sides

• Divide each side by 4

What is the X-intercept of the equation 2x + 4y = 12?

• (3, 0)

• (0, 3)

• (0, 6)

• (6, 0)

How many points are needed to graph a line?

• One

• Four

• Two

• Three

What is the Y-intercept of the equation 3x - 2y = 6?

• (0, -3)

• (0, 3)

• (3, 0)

• (6, 0)

What is the X-intercept of the equation 3x - 2y = 6?

• (0, -3)

• (0, 3)

• (2, 0)

• (6, 0)