A trend line is a straight line that illustrates the points on a scatter plot.
The equation of the trend line is: \(\mathbf{k = -2j + 24}\)
From the graph, we have the following points
\(\mathbf{(j,k) = (6,12)(4,16)}\)
Start by calculating the slope
\(\mathbf{m = \frac{k_2 - k_1}{j_2 - j_1}}\)
So, we have:
\(\mathbf{m = \frac{16 - 12}{4-6}}\)
\(\mathbf{m = \frac{4}{-2}}\)
\(\mathbf{m = -2}\)
The equation is then calculated as:
\(\mathbf{k = m(j - j_1) + k_1}\)
This gives
\(\mathbf{k = -2(j - 6) + 12}\)
Expand
\(\mathbf{k = -2j + 12 + 12}\)
\(\mathbf{k = -2j + 24}\)
Hence, the equation of the trend line is: \(\mathbf{k = -2j + 24}\)
Read more about trend lines at:
https://brainly.com/question/12023800
