Finding X and Y Intercepts of Lines and Quadratics

This video tutorial explains how to find the x and y intercepts of linear and quadratic equations. It covers the process of replacing variables with zero to find intercepts, demonstrates how to identify intercepts on a graph, and provides examples of solving quadratic equations to find intercepts. The tutorial emphasizes understanding the concept of intercepts and their representation as ordered pairs.

What is the first step to find the x-intercept of the equation 3x + 4y = 12?

• Replace y with zero

• Divide both sides by 4

• Multiply both sides by 3

• Replace x with zero

What is the x-intercept of the equation 3x + 4y = 12?

• x = 12

• x = 0

• x = 3

• x = 4

How do you find the y-intercept of the equation 3x + 4y = 12?

• Multiply both sides by 4

• Replace x with zero

• Divide both sides by 3

• Replace y with zero

What is the y-intercept of the equation 3x + 4y = 12?

• y = 3

• y = 4

• y = 0

• y = 12

Where does the x-intercept occur on a graph?

• At the highest point of the line

• At the origin

• Where the line touches the x-axis

• Where the line touches the y-axis

What is the y-intercept of a line that touches the y-axis at -3?

• y = -4

• y = 0

• y = -3

• y = 3

How many x-intercepts can a quadratic function have?

• None

• One

• Two

• Three

What is the y-intercept of the quadratic function x^2 - 8x + 12?

• y = 0

• y = 8

• y = 12

• y = -8

What are the x-intercepts of the quadratic function x^2 - 8x + 12?

• (0, 6) and (0, 2)

• (0, 8) and (0, 12)

• (6, 0) and (2, 0)

• (8, 0) and (12, 0)

Which method can be used to find the x-intercepts of a quadratic function?

• Factoring

• Completing the square

• All of the above

• Using the quadratic formula