Answer:
[tex]K=-2J+28[/tex]
Step-by-step explanation:
step 1
Find the slope of the line
The formula to calculate the slope between two points is equal to
[tex]m=\frac{k2-k1}{j2-j1}[/tex]
we have the points
(2,24) and (6,16)
substitute in the formula
[tex]m=\frac{16-24}{6-2}[/tex]
[tex]m=\frac{-8}{4}[/tex]
[tex]m-2[/tex]
step 2
Find the equation of the line in slope intercept form
[tex]K=mJ+b[/tex]
we have
[tex]m=-2[/tex]
[tex]b=28[/tex] ----> the k-intercept is the point (0,28) see the graph
substitute
[tex]K=-2J+28[/tex]
