Question

The scatter plot below shows the relationship between the leaf length (x) and leaf width f(x), in mm, of some leaves of a tree:

Answer 1

f(x)=-5+0.5x

sryy its late

Answer 2

The correct answer is f(x)=-5+0.5x

Looking at the data, we can see that the data increases at a constant rate.  We can find this rate, the slope, using the formula
m=(y₂-y₁)/(x₂-x₁)

Using the first two ordered pairs, we have
m=(1-0.5)/(12-11) = 0.5/1 = 0.5

Writing this in point-slope form, y-y₁=m(x-x₁), we have
y-0.5=0.5(x-11)

Using the distributive property, we have
y-0.5=0.5x-0.5*11
y-0.5=0.5x-5.5

Adding 0.5 to both sides,
y-0.5+0.5=0.5x-5.5+0.5
y=0.5x-5