Understanding Linear Equations and Intercepts

This video tutorial covers the graphing of linear equations in two variables. It begins with an introduction to the concept and proceeds to solve for Y using given X values. The tutorial demonstrates plotting these points and drawing the line. It further explores finding integer coordinate points on the line and verifying their validity. The video also explains how to check if specific points lie on the line and concludes with a detailed explanation of intercepts and how to graph using them.

What is the first step in solving the equation X + 3Y = 6 when X is 2?

• Divide both sides by 2

• Multiply both sides by 3

• Add 2 to both sides

• Subtract 2 from both sides

When plotting the point (2, 1.3) on a graph, what is the next step?

• Draw a vertical line

• Draw a horizontal line

• Connect the point to the origin

• Estimate the position on the graph

Which of the following points is on the line X + 3Y = 6?

• (1, 3)

• (0, 0)

• (3, 1)

• (2, 2)

If X is 1, what is the value of Y in the equation X + 3Y = 6?

• 1.6

• 2.6

• 1.3

• 2.3

What is the significance of a point being on the line in relation to the equation?

• It means the point is a midpoint

• It means the point is not a solution to the equation

• It means the point is a solution to the equation

• It means the point is an intercept

What is the y-intercept of the equation Y = 3 - (2/3)X?

• 0

• 3

• 2/3

• -2/3

How do you determine the slope from the equation Y = 3 - (2/3)X?

• By looking at the x-intercept

• By looking at the coefficient of X

• By looking at the constant term

• By looking at the y-intercept

What is the x-intercept of the equation 2X + 3Y = 9?

• 3

• 4.5

• 2

• 1.5

Which of the following is true about intercepts?

• They are the midpoint of the line

• They are the lowest points on the line

• They are where the line crosses the axes

• They are the highest points on the line

What does it mean if a point does not satisfy the equation of a line?

• The point is a midpoint

• The point is on the line

• The point is not on the line

• The point is an intercept