Graphing Linear Equations and Intercepts

The video tutorial explains how to graph the linear equation 3x - 2y = 6. It begins by introducing the concept of linear equations in standard form and then demonstrates how to find the x and y intercepts. The x intercept is found by setting y to zero, resulting in x = 2. The y intercept is found by setting x to zero, resulting in y = -3. Finally, the video shows how to connect these intercepts to draw the line representing the equation.

What is the standard form of the given linear equation?

• y = 3x + 6

• 3x - 2y = 6

• y = 2x - 3

• 2x - 3y = 6

What is the alternative form of the equation that the teacher mentions?

• y = mx + b

• ax + by = c

• y = ax + b

• x = my + b

How do you find the x-intercept of the equation?

• Set y to 0 and solve for x

• Set x to 1 and solve for y

• Set x to 0 and solve for y

• Set both x and y to 0

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

• (0, 3)

• (3, 0)

• (0, 2)

• (2, 0)

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

• Set y to 1 and solve for x

• Set both x and y to 0

• Set y to 0 and solve for x

• Set x to 0 and solve for y

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

• (2, 0)

• (3, 0)

• (0, 3)

• (0, -3)

What is the final step to graph the line after finding both intercepts?

• Calculate the slope

• Convert to slope-intercept form

• Find another point on the line

• Connect the x-intercept and y-intercept