Graphing Linear Functions: Intercepts and Techniques

The video tutorial covers graphing linear functions using x and y intercepts. It begins with an introduction to the concept, followed by several examples demonstrating how to find intercepts by plugging in zero for the opposite variable. The instructor addresses common mistakes and provides practice problems, encouraging students to try solving them independently. The video concludes with a summary and encouragement to review the material.

What is the first step in finding the x-intercept of a linear equation?

• Plot the points

• Plug in 0 for x

• Plug in 0 for y

• Solve for y

In the equation 4x - 2y = 20, what is the x-intercept?

• (5, 0)

• (0, 5)

• (-10, 0)

• (0, -10)

For the equation 4x - 2y = 20, what is the y-intercept?

• (-10, 0)

• (5, 0)

• (0, 5)

• (0, -10)

When solving for the x-intercept in the equation -x + 2y = 8, what is the value of x?

• 4

• -4

• 8

• -8

What is the y-intercept for the equation -x + 2y = 8?

• (0, 4)

• (4, 0)

• (0, -4)

• (-4, 0)

In the equation 2x + y = 6, what is the x-intercept?

• (0, 6)

• (6, 0)

• (0, 3)

• (3, 0)

For the equation 2x + y = 6, what is the y-intercept?

• (3, 0)

• (0, 6)

• (0, 3)

• (6, 0)

In the equation x - y = 5, what is the x-intercept?

• (0, 5)

• (5, 0)

• (0, -5)

• (-5, 0)

What is the y-intercept for the equation x - y = 5?

• (0, 5)

• (5, 0)

• (0, -5)

• (-5, 0)

In the equation x + y = 0, what are the intercepts?

• (1, 0) and (0, 1)

• (0, -1) and (-1, 0)

• (-1, 0) and (0, -1)

• (0, 1) and (1, 0)