Understanding X and Y Intercepts

The video tutorial explains how to determine the x and y intercepts of the line y = 2/3x - 4. It demonstrates setting y to 0 to find the x-intercept and setting x to 0 to find the y-intercept. The tutorial walks through solving the equations step-by-step and concludes with graphing the line using the intercepts.

What is the equation of the line discussed in the video?

• y = 3/2x - 4

• y = 2/3x - 4

• y = 3/2x + 4

• y = 2/3x + 4

To find the X intercept, what value should y be set to?

• Any value

• -1

• 0

• 1

What operation is performed first to solve 0 = 2/3x - 4 for x?

• Subtract 4 from both sides

• Multiply both sides by 3

• Add 4 to both sides

• Divide both sides by 2

What is the X intercept of the line y = 2/3x - 4?

• (-4, 0)

• (0, -4)

• (0, 6)

• (6, 0)

To find the Y intercept, what value should x be set to?

• Any value

• -1

• 0

• 1

What is the Y intercept of the line y = 2/3x - 4?

• (0, 6)

• (6, 0)

• (0, -4)

• (-4, 0)

What is the result of 2/3 multiplied by 0?

• 2/3

• 0

• -4

• 1

Which two points does the line pass through based on the intercepts?

• (0, 6) and (6, 0)

• (6, 0) and (0, 6)

• (6, 0) and (0, -4)

• (0, -4) and (-4, 0)

What is the purpose of graphing the line using the intercepts?

• To find the slope

• To calculate the area under the line

• To determine the equation

• To visualize the line

What is the final step in the video after finding the intercepts?

• Solving another equation

• Graphing the line

• Finding the slope

• Calculating the midpoint