Understanding Linear Functions

David Huang introduces linear functions, focusing on the slope intercept form y=mx+b. He explains the components of the form, including coordinates, slope, and y-intercept. Examples are provided to illustrate the concept, and methods for converting equations to slope intercept form are discussed. The video also covers graphing linear functions and addresses special cases like y=3. The lesson concludes with a summary of key points.

What is the primary focus of the lesson on linear functions?

• Quadratic functions

• Point-slope form

• Slope-intercept form

• Standard form

In the slope-intercept form y=mx+b, what does 'm' represent?

• X-coordinate

• Y-intercept

• Slope

• Origin

What is the y-intercept of the equation y=3x+2?

• 1

• 2

• 3

• 0

How do you isolate the y-value in an equation to convert it to slope-intercept form?

• Add x to both sides

• Subtract y from both sides

• Add a constant to both sides

• Divide or multiply to get y alone

What is the slope of the equation y=-2x?

• 0

• 2

• -2

• 1

When plotting a linear function, what is typically done after calculating y for given x values?

• Draw a circle

• Connect the dots to form a line

• Shade the area under the curve

• Plot only the x-axis

What is the y-intercept of the line y=3?

• 0

• 1

• Undefined

• 3

In the equation y=mx+b, what happens if b is not present?

• The slope is zero

• The line passes through the origin

• The line is horizontal

• The line is vertical

What does a horizontal line on a graph indicate about the slope?

• The slope is undefined

• The slope is zero

• The slope is positive

• The slope is negative

What is the slope of a line represented by the equation y=10?

• Undefined

• 0

• 10

• 1