Exploring Linear Functions in Pre-Algebra

This video tutorial covers module five, lesson six, focusing on linear functions. The lesson aims to strengthen understanding of linear functions, explaining the slope formula and how to determine if a set of data is a linear function. It includes examples of checking linearity in tables and writing linear equations using point slope and slope intercept forms. The lesson concludes with a problem set and homework instructions.

What is the primary objective of this lesson?

• To strengthen understanding of linear functions

• To memorize the slope formula

• To understand quadratic functions

• To plan a field trip to B City

What is the slope formula used in this lesson?

• y - y1 = m(x - x1)

• m = x2 - x1 / y2 - y1

• m = (y2 - y1) / (x2 - x1)

• y = mx + b

What must a set of data have to be considered a linear function?

• Different slopes for each data pair

• A variable rate of change

• A constant rate of change

• No slope

How do you write the equation of a line using the point-slope formula?

• y = mx + b

• y2 - y1 = m(x2 - x1)

• m = (y2 - y1) / (x2 - x1)

• y - y1 = m(x - x1)

What indicates that a function is linear when looking at a table of values?

• The x-values increase by different amounts

• The y-values have no pattern

• The rate of change is constant

• The function passes through the origin

What does a constant slope in a table of values indicate about the function?

• It is nonlinear

• It is linear

• It is exponential

• It is undefined

Is it sufficient to check only the first and last points to determine if a function is linear?

• No, only if the function is quadratic

• Yes, if the points form a straight line

• No, all points must be checked

• Yes, always

What form does a linear equation take after using the point-slope formula and simplifying?

• Vertex form

• Point-slope form

• Slope-intercept form

• Standard form

How can you determine if a graph represents a linear function?

• By checking if the graph is a parabola

• If it forms a straight line

• If it passes through the origin only

• By finding the area under the curve

What type of relationship does a linear function with a slope of 1 and no y-intercept have?

• Quadratic

• Directly proportional

• Non-proportional

• Inverse proportional