Linear Equations: Graphical Representation

What analogy is used to explain the concept of solutions in graphs?

• A train picking up passengers

• A bus picking up students

• A ship docking at a port

• A plane taking off

Which of the following points is a solution to the equation X + Y = 4?

• (3, 1)

• (2, 2)

• (4, 0)

• (1, 3)

What is the graphical representation of a linear equation of degree one?

• A parabola

• A straight line

• A circle

• A curve

How many solutions does a linear equation typically have?

• Infinite

• One

• Finite

• Two

What is the point of intersection of the line 2X + 3Y = 6 with the X-axis?

• (-3, 0)

• (3, 0)

• (0, 3)

• (0, -3)

If a point lies on the graph of an equation, what does it represent?

• A midpoint

• A vertex

• A tangent

• A solution

What is the value of K if the point (2, 4) lies on the graph of the equation 2 + 3Y = KX?

• 6

• 5

• 8

• 7

How many dimensions do physicists believe currently describe the universe?

• 4

• 3

• 10

• 12

What is the fourth dimension according to physicists?

• Time

• Depth

• Space

• Width

In how many dimensions will the graph of a linear equation remain the same?

• 10

• All dimensions

• 3

• 2