The trend line shown for Tyson’s Bike Ride contains the points ( -1/8, 0)
, (0,2), (1,18) and (3,50).
To find the equation of the trend line, we can use the slope-intercept form: y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the slope, we can use the formula: m = (y2 - y1) / (x2 - x1).
Taking the first two points ( -1/8, 0) and (0,2), we have:
m = (2 - 0) / (0 - (-1/8))
m = 2 / (1/8)
m = 2 * 8/1
m = 16
Using the slope, we can take any point, let's choose (0,2), and substitute it into the slope-intercept form to find the y-intercept, b:
2 = 16(0) + b
2 = b
Therefore, b = 2.
Now that we have the slope and y-intercept, we can write the equation of the trend line:
y = 16x + 2.