Understanding Linear Equations and Graphing

The video tutorial explains how to find three points on the line represented by the equation 2X - 3Y = 6 and graph it. The process involves substituting values for X and Y to find the Y-intercept, X-intercept, and another point on the line. The tutorial then demonstrates how to plot these points and draw the line on a graph.

What is the first step in completing the table for the line 2x - 3y = 6?

• Substitute 0 for y and solve for x

• Substitute 0 for x and solve for y

• Substitute 2 for y and solve for x

• Substitute 2 for x and solve for y

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

• (-2, 0)

• (2, 0)

• (0, -2)

• (0, 2)

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What equation do you get when you substitute 0 for y in 2x - 3y = 6?

• x = 6

• 2x = 6

• 3x = 6

• -3x = 6

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

• (6, 0)

• (0, 3)

• (3, 0)

• (0, 6)

What value of x do you find when substituting y = 2 in the equation 2x - 3y = 6?

• x = 2

• x = 4

• x = 6

• x = 8

Tags

CCSS.7.EE.B.4A

What is the result of adding 6 to both sides of the equation 2x - 6 = 6?

• x = 12

• 2x = 0

• 2x = 12

• x = 6

Which point is not on the line 2x - 3y = 6?

• (0, -2)

• (3, 0)

• (2, 3)

• (6, 2)

What is the purpose of plotting the points (0, -2), (3, 0), and (6, 2)?

• To determine the line's equation

• To find the slope of the line

• To graph the line

• To calculate the midpoint

What is the significance of the point (3, 0) on the graph of the line?

• It is the midpoint

• It is the x-intercept

• It is the origin

• It is the y-intercept

What does the line 2x - 3y = 6 represent when plotted on a graph?

• A parabola

• A circle

• A straight line

• A hyperbola