Answer:
![K=-2J+28](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3kr1mfumgzdwzjw8cl9xt5c3mwzzpmx6dm.png)
Explanation:
step 1
Find the slope of the line
The formula to calculate the slope between two points is equal to
![m=(k2-k1)/(j2-j1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/a1hyv9zjwawyvk14lxnidgrkt0q036yr8d.png)
we have the points
(2,24) and (6,16)
substitute in the formula
![m=(16-24)/(6-2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2s3kvcyrehs6kgtvrrsvpd8xu7c7e9spyo.png)
![m=(-8)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r0mw541p6rtvgvc9reh8bhkdro8fxv5trd.png)
![m-2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xa9d8vgvqtgpnzf5vdlxghwrviugwdwytl.png)
step 2
Find the equation of the line in slope intercept form
![K=mJ+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/14zvqpbfnaketm5eetjfrqp2s5njp6ehgy.png)
we have
![m=-2](https://img.qammunity.org/2021/formulas/mathematics/college/uxn43egr71t8b60ftce4qcbnrxnjmu07lr.png)
----> the k-intercept is the point (0,28) see the graph
substitute
![K=-2J+28](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3kr1mfumgzdwzjw8cl9xt5c3mwzzpmx6dm.png)