Identifying Linear Equations and Functions

The video tutorial explains how to graph pairs of linear equations on a coordinate plane. It covers the process of creating tables of values for each equation, plotting points, and drawing lines. The tutorial demonstrates graphing the equations y = 2x + 2, 2y = 4x + 4, y = x - 5, y = -x + 3, y = 2x - 3, and y = 2x + 4. It highlights that some equations represent the same line, while others are parallel.

What is the slope of the equation y = 2x + 2?

• 1

• 2

• 3

• 4

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

• 1

• 3

• 0

• 2

Which point is on the line y = 2x + 2?

• (0, 2)

• (0, 0)

• (2, 4)

• (1, 2)

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

• -1

• 0

• 1

• 2

What is the result when you solve 2y = 4x + 4 for y?

• y = x + 2

• y = 2x + 2

• y = 2x + 4

• y = x + 4

What do the equations y = 2x + 2 and 2y = 4x + 4 have in common?

• Different y-intercepts

• Same line

• Different slopes

• Parallel lines

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

• 0

• 1

• 5

• -5

Which point is on the line y = x - 5?

• (0, -5)

• (5, 0)

• (1, -4)

• (2, -3)

What is the slope of the equation y = -x + 3?

• 1

• -1

• 0

• 3

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

• -5

• 0

• 5

• 1