Exploring X- and Y-Intercepts in Algebra

The video tutorial explains how to graph linear equations by plotting points and drawing lines. It covers the concept of x and y-intercepts, demonstrating how to find these intercepts for different linear equations. The tutorial uses examples to illustrate the process of plotting points and drawing lines, and it explains the significance of intercepts in understanding the graph of an equation.

What is the linear equation introduced at the beginning of the video?

• y = -1/2x + 3

• y = 1/2x - 3

• y = x - 3

• y = 2x + 3

What is the y-coordinate when x is 2 for the equation y = 1/2x - 3?

• 1

• -2

• 0

• -1

Which point is NOT on the line y = 1/2x - 3?

• (1, -1)

• (0, -3)

• (4, -1)

• (2, -2)

What is the x-intercept of the line y = 1/2x - 3?

• (4, -1)

• (2, -2)

• (0, -3)

• (6, 0)

What is the y-intercept of the line y = 1/2x - 3?

• (2, -2)

• (0, -3)

• (6, 0)

• (4, -1)

For the equation 5x + 6y = 30, what is the y-coordinate when x is 0?

• 30

• 6

• 0

• 5

For the equation 5x + 6y = 30, what is the x-coordinate when y is 0?

• 0

• 6

• 30

• 5

Which point is on the line represented by 5x + 6y = 30?

• (0, 5)

• (0, 6)

• (6, 5)

• (5, 0)

What is the x-intercept of the line 5x + 6y = 30?

• (0, 6)

• (6, 0)

• (5, 0)

• (0, 5)

What is the y-intercept of the line 5x + 6y = 30?

• (0, 5)

• (5, 0)

• (6, 0)

• (0, 6)