Exploring Key Features of Linear Functions

The video tutorial covers graphing linear functions, converting equations to slope-intercept form, identifying x-intercepts and zeroes, analyzing graphs to match equations, and finding y-intercepts using tables and linear regression.

What is the first step in converting the equation 3x + 5y = -15 to slope-intercept form?

• Subtract 3x from both sides

• Multiply both sides by 5

• Add 3x to both sides

• Divide both sides by 5

What is the slope of the line represented by the equation 3x + 5y = -15 after converting it to slope-intercept form?

• 5/3

• -5/3

• -3/5

• 3/5

What is another term for the x-intercept of a function?

• Intercept

• Zero

• Slope

• Y-intercept

Which point is the x-intercept in the table of values provided?

• (0, 12)

• (2, 8)

• (1, 10)

• (6, 0)

What is the y-intercept of the line with the equation y = 2/3x - 2?

• 3

• 2

• -2

• -3

Which form of the equation is y - 2 = 2/3(x - 6)?

• Quadratic form

• Point-slope form

• Standard form

• Slope-intercept form

What is the slope of the line passing through the point (6, 2) with the equation y - 2 = 2/3(x - 6)?

• 3/2

• 2/3

• -3/2

• -2/3

What is the y-intercept of the function represented by the table of values if the pattern subtracts 11 each time?

• -11

• -16

• -27

• -5

Which calculator function can be used to find the y-intercept from a table of linear values?

• Polynomial regression

• Linear regression

• Exponential regression

• Quadratic regression

What is the y-intercept of the function if the calculator's linear regression function gives the equation y = 2x - 27?

• -2

• -27

• 2

• 27