Exploring Two-Variable Linear Equations and Their Graphs

The video introduces linear equations, explaining that they form lines when graphed. It demonstrates graphing linear equations using examples and discusses why they are called linear. The video also covers alternative forms of linear equations and contrasts them with non-linear equations, which do not form lines. Finally, it defines linear equations as those with terms that are constants or variables raised to the first power.

What is the primary reason a linear equation is called 'linear'?

• Because it forms a line on the graph

• Because it has variables raised to the second power

• Because it has no variables

• Because it forms a curve on the graph

What is the y-value when x is 0 in the equation y = 2x - 3?

• 2

• 3

• -3

• 0

If x is 2 in the equation y = 2x - 3, what is the y-value?

• 1

• 2

• 4

• 3

What happens when you input any x-value into the equation y = 2x - 3?

• You get no value

• You get a curve

• You get a corresponding y-value on the line

• You get a different line

What is the y-value when x is -0.5 in the equation y = 2x - 3?

• -2

• -3

• -4

• -5

Which of the following is also a linear equation?

• 5/x + y = 10

• 4x - 3y = 12

• y = x^2

• xy = 12

What is the x-value when y is 0 in the equation 4x - 3y = 12?

• 2

• 1

• 3

• 0

Which of the following is NOT a linear equation?

• 2x + 5y = 7

• y = x^2

• 4x - 3y = 12

• y = 2x - 3

What is a key characteristic of a linear equation?

• It forms a curve when graphed

• It has variables multiplied together

• It forms a line when graphed

• It has variables raised to the second power

Which term is NOT allowed in a linear equation?

• Product of variables

• Variable raised to the first power

• Constant

• Constant times a variable