Graphing Linear Equations with Intercepts

The video tutorial covers graphing linear equations using x and y-intercepts. It begins with an introduction to the concepts of x and y-intercepts, followed by step-by-step solutions to problems involving finding these intercepts for given equations. The tutorial includes detailed explanations and examples for each problem, helping students understand how to solve for intercepts and graph the resulting points. The video concludes with an assignment for further practice.

What does the x-intercept of a line represent?

• The maximum value of the function

• The point where the line crosses the x-axis

• The point where the line crosses the y-axis

• The slope of the line

If y is set to zero in the equation 3x + 2y = 6, what is the value of x?

• 6

• 0

• 3

• 2

How do you find the y-intercept of an equation?

• Set x to zero and solve for y

• Set y to zero and solve for x

• Multiply all terms by y

• None of the above

What are the coordinates of the y-intercept for the equation 3x + 2y = 6?

• (0, 3)

• (3, 0)

• (2, 0)

• (0, 2)

What changes in the equation 3x - 2y = 6 affect the intercepts compared to 3x + 2y = 6?

• Both intercepts become zero

• The x-intercept remains the same

• The y-intercept becomes negative

• The slope of the line changes

What is the x-intercept of the equation 3x - 2y = 6?

• (2, 0)

• (3, 0)

• (0, 2)

• (0, 3)

How is the y-intercept of the equation 3x - 2y = 6 calculated?

• By setting x to zero and solving for y

• By dividing all terms by y

• By multiplying all terms by x

• By setting y to zero and solving for x

What are the coordinates of the y-intercept for the equation 3x - 2y = 6?

• (-3, 0)

• (0, 3)

• (0, -3)

• (3, 0)

After finding the intercepts, what is the next step in graphing the equation?

• Plotting the intercepts on the graph

• Calculating the slope

• Finding the maximum value

• None of the above

What does the y-intercept of a line represent?

• The minimum value of the function

• The point where the line crosses the y-axis

• The point where the line crosses the x-axis

• The slope of the line