Linear Equations and Intercepts

The video tutorial covers lesson 19 on graphing linear equations in two variables. It begins with an introduction to the concept of linear equations and their graphical representation as lines. The instructor provides examples of solving linear equations and verifying solutions. The lesson progresses to graphing equations using x and y intercepts, demonstrating how to plot points and draw lines accurately. The tutorial emphasizes understanding the relationship between algebraic solutions and their graphical representation.

What is the graph of a linear equation in two variables?

• A circle

• A line

• A parabola

• A hyperbola

When solving X + 2y = 6, what is the y-value when x is 4?

• 3

• 1

• 0

• 2

How do you verify if a point is a solution to a linear equation?

• By drawing a perpendicular line

• By checking if the point lies on the x-axis

• By substituting the point into the equation

• By checking if the point lies on the y-axis

What is the x-intercept of the equation 2x + 3y = 12?

• (4, 0)

• (0, 6)

• (6, 0)

• (0, 4)

What happens to the y-value when finding the x-intercept?

• It halves

• It doubles

• It becomes 0

• It becomes 1

What is the y-intercept of the equation 4x + 3y = 21?

• (5, 0)

• (0, 7)

• (0, 5)

• (7, 0)

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

• Set x to 0 and solve for y

• Set y to 0 and solve for x

• Find the midpoint of the line

• Use the slope formula

What is the purpose of using intercepts in graphing?

• To find the midpoint

• To determine the line's length

• To easily plot the line on a graph

• To find the slope

Which of the following is true about the x-intercept?

• The y-value is always 1

• The x-value is always 0

• The y-value is always 0

• The x-value is always 1

What is the result when you substitute x = 0 in the equation 3x - y = 9?

• y = -3

• y = 9

• y = -9

• y = 3