Exploring Linear Functions and Best Fit Lines

What is the standard form of the equation used when both the slope and y-intercept are known?

• y = mx - b

• y = mx + b

• y = m/x + b

• y - y1 = m(x - x1)

Which form is used when the slope and a single point on the line are known, but not the y-intercept?

• Slope-intercept form

• Standard form

• Point-slope form

• Two-point form

How do you calculate the slope if only two points are given?

• None of the above

• Multiply the y-values and divide by the product of x-values

• Add the y-values and divide by the sum of x-values

• Subtract the y-values and divide by the difference in x-values

What is the equation form used when the slope and a point are known, but not the y-intercept?

• y = mx + b

• y - y1 = m(x - x1)

• x = my + b

• y = m(x - x1) + y1

How is the slope calculated using two points?

• None of the above

• (y2 + y1) / (x2 + x1)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

In the babysitting fees problem, who charges more per hour?

• Kelly

• It depends on the number of hours

• Kim

• Both charge the same

After how many hours will Kelly and Kim's babysitting fees be the same?

• 2 hours

• 4 hours

• 8 hours

• 6 hours

What is the purpose of estimating a line of best fit through data points?

• To find the exact values of all data points

• To visually represent the trend of the data

• To ensure perfect accuracy of data

• To predict values outside the range of data

What does a correlation coefficient close to 1 or -1 indicate?

• Data points are not aligned

• Strong correlation

• Weak correlation

• No correlation

What method calculates a line that is theoretically closest to all data points?

• Slope calculation

• Point-slope estimation

• Slope-intercept calculation

• Linear regression