Exploring X and Y Intercepts in Linear Equations

The video tutorial explains how to find the x- and y-intercepts of the equation 2y + 1/3x = 12. It begins with a refresher on what intercepts are, then demonstrates how to calculate the x-intercept by setting y to 0 and solving for x, resulting in the point (36, 0). Similarly, it finds the y-intercept by setting x to 0 and solving for y, resulting in the point (0, 6). The tutorial concludes by plotting these points on a graph to visualize the intercepts.

What is the x-intercept of the equation 2y + (1/3)x = 12?

• (36, 0)

• (0, 36)

• (12, 0)

• (0, 12)

How do you find the x-intercept of a linear equation?

• Set y to 0 and solve for x

• Set x to 0 and solve for y

• Multiply both sides by x

• Divide both sides by y

If x is 36 when y is 0, what point does this represent on the graph?

• (36, 0)

• (0, 12)

• (12, 0)

• (0, 36)

What is the result of setting y to 0 and solving for x in the equation 2y + (1/3)x = 12?

• x = 6

• x = 12

• x = 36

• x = 0

What value of y makes the x-coordinate of the intercept 0 in the equation 2y + (1/3)x = 12?

• 6

• 36

• 0

• 12

What does setting x to 0 in the equation 2y + (1/3)x = 12 help determine?

• Y-intercept

• X-intercept

• Slope of the line

• None of the above

What is the y-intercept of the equation 2y + (1/3)x = 12?

• (0, 12)

• (12, 0)

• (6, 0)

• (0, 6)

What operation is used to isolate y in the equation 2y + (1/3)x = 12 when x is 0?

• Division by 2

• Multiplication by 2

• Subtraction of 2

• Addition of 2

Where does the line of the equation 2y + (1/3)x = 12 intersect the y-axis?

• At y = 0

• At y = 36

• At y = 12

• At y = 6

What does the point (0, 6) represent in the context of the equation 2y + (1/3)x = 12?

• Y-intercept

• None of the above

• Slope

• X-intercept