Graphing Linear Equations and Systems

The video tutorial guides students through solving linear equations by graphing. It begins with an introduction to graphing, followed by step-by-step instructions on graphing two linear equations by hand. The teacher explains the concepts of y-intercept and slope, and demonstrates how to plot points on a graph. Mistakes are made and corrected, emphasizing the importance of double-checking work. The solution is verified by substituting values into the equations. The session concludes with encouragement for students to practice independently.

What is the primary method introduced for solving linear equations in this lesson?

• Solving by substitution

• Using algebraic manipulation

• Graphing by hand

• Using a computer program

What does the 'b' in the equation y = mx + b represent?

• The y-intercept

• The x-intercept

• The slope of the line

• The origin

If the slope of a line is -1, how would you plot the line starting from the y-intercept?

• Up one, right one

• Down one, left one

• Down one, right one

• Up one, left one

What tool does the teacher wish had a straight line feature?

• Graphing calculator

• Jamboard

• PDF editor

• Whiteboard

What is the slope of the second equation discussed in the lesson?

• -5

• -2

• -3

• -4

What common mistake did the teacher make while plotting the second equation?

• Using a different graphing tool

• Forgetting to label the axes

• Plotting the slope incorrectly

• Using the wrong y-intercept

How can you verify the solution of a system of equations graphically?

• By checking the intersection point

• By solving algebraically

• By using a calculator

• By estimating visually

What is the correct solution for the system of equations discussed in the lesson?

• (-2, 4)

• (0, 2)

• (1, -3)

• (-1, 3)

What is the importance of double-checking your work when graphing?

• To impress the teacher

• To catch any mistakes before finalizing

• To save time

• To ensure the graph looks neat

What should you do if you notice a mistake in your graph?

• Ask someone else to fix it

• Start over

• Ignore it

• Correct it and learn from it