Final answer:
To find the equation of the line of fit in slope-intercept form using the two points (1, 1320) and (5, 1688), you first calculate the slope (m) as 92, then use this slope with the median sums to find the y-intercept (b) as 35.25, resulting in the equation y=92x+35.25.
Step-by-step explanation:
To write an equation of the line of fit in slope-intercept form using the points (1, 1320) and (5, 1688), we must first calculate the slope (m) and then the y-intercept (b). The slope is the change in y divided by the change in x, or Δy/Δx.
Calculating the slope, we get m = (1688 - 1320) / (5 - 1) = 368 / 4 = 92. Now that we have the slope, we can use the given formula to calculate the y-intercept (b). Using the median sums provided, we get b = 219.5 – 0.09(1264), which simplifies to b≈ 35.25. Using the slope-intercept form y=mx+b, our equation becomes y = 92x + 35.25, where x is the number of years since 2015.