(x,y)=(2,2.7) and (x,y)=(5,72.9)

f(x)=
Find the formula

1 answer

To find the formula for f(x), we need to determine the relationship between x and y. We can use the two given points to find the slope of the line passing through them:

slope = (y2 - y1) / (x2 - x1)
slope = (72.9 - 2.7) / (5 - 2)
slope = 70.2 / 3
slope = 23.4

Now that we have the slope, we can use the point-slope form of a linear equation to find the formula for f(x):

y - y1 = m(x - x1)
y - 2.7 = 23.4(x - 2)
y - 2.7 = 23.4x - 46.8
y = 23.4x - 44.1

Therefore, the formula for f(x) is:

f(x) = 23.4x - 44.1