Linear Equations and Their Properties

The video provides a comprehensive review of linear equations, focusing on their properties and graphing techniques. It explains the slope-intercept form, y = ax + b, and demonstrates how to identify and graph linear equations. The video also covers how to distinguish non-linear equations and provides examples to solidify understanding. The tutorial concludes with information on additional learning resources.

What is the standard form of a linear equation?

• y = ax^2 + b

• y = ax + b

• y = a/x + b

• y = ax + bx

Which of the following equations is in slope-intercept form?

• y = x^3 + 1

• y = 4x - 5

• y = 2/x + 3

• y = 3x^2 + 2

How can you identify a non-linear equation?

• It can be rearranged into y = ax + b.

• It has a constant term.

• It has a negative slope.

• It has a variable with a power other than one.

What shape does the graph of a linear equation typically have?

• A circle

• A curve

• A parabola

• A straight line

What does the slope of a linear equation indicate?

• The y-intercept

• The steepness of the line

• The curvature of the line

• The x-intercept

In the equation y = 4x - 5, what is the slope?

• -5

• 0

• 4

• 1

In the equation y = -1/2x + 3, what is the y-intercept?

• 0

• 3

• -1/2

• -3

If a line has a positive slope, in which direction does it go?

• Downward from left to right

• Vertical

• Upward from left to right

• Horizontal

What happens to the line if the slope is negative?

• It increases from left to right

• It becomes horizontal

• It becomes vertical

• It decreases from left to right

In the equation y = 2x + 4, what is the y-intercept?

• -4

• 2

• 4

• 0