Respuesta :

arxyl
so the standard form is y = mx + b
m is the slope (rise/run)
b is the y-intercept or where the slope intercepts the y-axis

so you end up with
k = (4/-2)j + 24
simplify this to
k = -2j + 24
MrRoyal

A trend line is a straight line that illustrates the points on a scatter plot.

The equation of the trend line is: [tex]\mathbf{k = -2j + 24}[/tex]

From the graph, we have the following points

[tex]\mathbf{(j,k) = (6,12)(4,16)}[/tex]

Start by calculating the slope

[tex]\mathbf{m = \frac{k_2 - k_1}{j_2 - j_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{16 - 12}{4-6}}[/tex]

[tex]\mathbf{m = \frac{4}{-2}}[/tex]

[tex]\mathbf{m = -2}[/tex]

The equation is then calculated as:

[tex]\mathbf{k = m(j - j_1) + k_1}[/tex]

This gives

[tex]\mathbf{k = -2(j - 6) + 12}[/tex]

Expand

[tex]\mathbf{k = -2j + 12 + 12}[/tex]

[tex]\mathbf{k = -2j + 24}[/tex]

Hence, the equation of the trend line is: [tex]\mathbf{k = -2j + 24}[/tex]

Read more about trend lines at:

https://brainly.com/question/12023800

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