Understanding Linear and Non-linear Equations

This video tutorial provides extra help for lesson two in module six, focusing on deriving and interpreting the linear equation y=mx+b. It covers understanding slope and y-intercepts, identifying linear and non-linear equations, and writing linear equations from graphs. Examples of linear lines are provided, along with explanations of non-linear functions. The tutorial concludes with a practical exercise on writing equations using given graphs.

What is the primary objective of the lesson?

• To understand quadratic equations

• To learn about geometric shapes

• To interpret linear equations

• To solve complex algebraic expressions

In the equation y = mx + b, what does 'm' represent?

• The y-intercept

• The slope

• The x-intercept

• The constant term

How can you identify a linear line on a graph?

• It forms a curve

• It is a vertical line

• It has multiple intercepts

• It makes a straight line

What is the slope of a line that goes down from left to right?

• Negative

• Undefined

• Zero

• Positive

Which of the following is a characteristic of non-linear functions?

• They have a constant slope

• They form straight lines

• They are not first-degree polynomials

• They are first-degree polynomials

What is the first step in writing a linear equation from a graph?

• Calculate the area under the line

• Identify the x-intercept

• Find the slope

• Determine the y-intercept

If a line crosses the y-axis at 2, what is the y-intercept?

• 1

• 3

• 0

• 2

How do you calculate the slope from two points?

• Add the y-coordinates

• Divide the change in y by the change in x

• Multiply the x-coordinates

• Divide the change in x by the change in y

What is the slope of a line if the rise is 3 and the run is 1?

• 2

• 4

• 1

• 3

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

• 0

• 3

• 1

• 2