Graphing Linear Equations Using The Equation X Plus Y Equals Four

The video tutorial explains how to graph a linear equation in two variables, using the example X + Y = 4. It demonstrates plotting points that satisfy the equation, connecting them to form a straight line, and interpreting the graph. Key takeaways include understanding that the graph of a linear equation is always a straight line, every point on the line is a solution, and points not on the line are not solutions.

What is the equation used in the video to demonstrate graphing a linear equation?

• X + Y = 5

• X + Y = 4

• X * Y = 4

• X - Y = 4

Which of the following is a pair of values that satisfies the equation X + Y = 4?

• (0, 5)

• (1, 3)

• (3, 1)

• (2, 2)

What shape does the graph of a linear equation in two variables form?

• A straight line

• A circle

• A parabola

• A curve

What is the result when you join the points that satisfy the equation X + Y = 4?

• A curve

• A straight line

• A circle

• A parabola

Which point is NOT a solution to the equation X + Y = 4?

• (1, 3)

• (0, 4)

• (-1, 5)

• (-1, 2)

What can be inferred about any point on the line of a linear equation's graph?

• It is not a solution to the equation.

• It is a solution to the equation.

• It is a solution only if X is positive.

• It is a solution only if Y is negative.

What happens if you pick a point that does not lie on the line of the graph?

• It will be a solution only if Y is zero.

• It will be a solution only if X is zero.

• It will not be a solution.

• It will still be a solution.

What is the first key takeaway from the video?

• The graph of a linear equation is a curve.

• The graph of a linear equation is a straight line.

• The graph of a linear equation is a circle.

• The graph of a linear equation is a parabola.

What is the second key takeaway from the video?

• Every point on the line is not a solution.

• Every point on the line is a solution.

• Every point on the line is a solution only if X is positive.

• Every point on the line is a solution only if Y is negative.

What is the third key takeaway from the video?

• Points not on the line are solutions only if X is zero.

• Points not on the line are not solutions.

• Points not on the line are solutions only if Y is zero.

• Points not on the line are solutions.