Graphing Linear Functions: Key Concepts and Techniques

In this video tutorial, the teacher guides students through Lesson 21 on graphing linear functions. The lesson begins with an introduction to using graph paper and drawing coordinate planes. The teacher then demonstrates how to graph various linear equations, such as y = 2x - 4, y = -3x + 5, y = x + 2, y = 2x, and y = -x + 6, by identifying y-intercepts and using slopes to plot points. The tutorial emphasizes the importance of understanding slopes and intercepts in graphing linear functions.

What are the two main axes called in a coordinate plane?

• Y-axis and Z-axis

• W-axis and Y-axis

• X-axis and Z-axis

• X-axis and Y-axis

Why is it suggested to use graph paper for graphing linear functions?

• It makes the graph look colorful

• It is required for all math problems

• It helps in maintaining equal spacing between tick marks

• It is easier to erase mistakes

What is the y-intercept of the equation y = 2x - 4?

• -2

• 2

• -4

• 4

How do you use the slope to find more points for the equation y = 2x - 4?

• Go up 2 steps and left 1 step

• Go down 2 steps and right 1 step

• Go down 2 steps and left 1 step

• Go up 2 steps and right 1 step

What is the y-intercept of the equation y = -3x + 5?

• 3

• -3

• 5

• -5

How do you use the slope to find more points for the equation y = -3x + 5?

• Go up 3 steps and left 1 step

• Go up 3 steps and right 1 step

• Go down 3 steps and left 1 step

• Go down 3 steps and right 1 step

What is the implied coefficient of x in the equation y = x + 2?

• 0

• 2

• 1

• -1

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

• -2

• 2

• 1

• 0

What number represents a missing y-intercept in the equation y = 2x?

• 0

• 1

• 2

• -1

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

• 0

• 1

• -2

• 2