Linear Equations and Their Properties

The video tutorial covers finding slopes of parallel and perpendicular lines, using point-slope form, graphing lines and their inverses, performing linear regression with calculators, and converting equations to standard form. It also discusses extra credit opportunities related to these topics.

What is the slope of a line parallel to the line with equation 3y = 2x - 9?

• 2/3

• 3/2

• -2/3

• -3/2

How do you convert the equation 2x = 3y + 9 to slope-intercept form?

• y = 2/3x - 3

• y = 3/2x - 3

• y = -2/3x + 3

• y = 3/2x + 3

Why are two lines considered parallel?

• They are perpendicular

• They have different slopes

• They intersect at one point

• They have the same slope

What is the slope of a line perpendicular to a line with slope 9/2?

• -2/9

• 2/9

• -9/2

• 9/2

In point-slope form, what does the 'm' represent in the equation y - y1 = m(x - x1)?

• Slope

• X-intercept

• Y-intercept

• Constant

What is the equation of a horizontal line?

• x = my + b

• y = mx + b

• x = constant

• y = constant

Which function on a calculator is used for linear regression?

• Edit

• Calc

• Graph

• Stat

What is the standard form of a linear equation?

• x = my + b

• Ax = By + C

• y = mx + b

• Ax + By = C

How do you find the inverse of a line?

• Switch x and y

• Change the slope

• Add a constant

• Multiply by -1