Answer:
1) Slope = -1.3
2) Constant of variation (k) = -12
Step-by-step explanation:
1) Given that,
Two points on the line are [tex](-3,7) \ and \ ((3,-1)[/tex]
We have to find the slope,
[tex]=\frac{rise}{run} \ or \ \frac{(y2-y1)}{(x2-x1)}[/tex]
Substituting the corresponding values in the above formula.
[tex]=\frac{(y2-y1)}{(x2-x1)} \\=\frac{-1-7}{3--3}\\ =\frac{-8}{6}\\ =\frac{-4}{3}\\ =-1.3[/tex]
2) (k) represents Constant of variation in the equation of the form [tex]y=kx[/tex]
Comparing the given equation [tex]y=-12x[/tex] with the above form ,
We can say Constant of variation (k)=-12
