Step-by-step explanation:
the first coordinate is (-3 5),
x+3y -12 the second coordinate is (3, 3)
y= -1/3x +4
X - y + 6 = 0
slope - intercept form is
y = x + 6
To write a fraction in simplest form, you have to divide the numerator and the denominator by their greatest common factor.
Factors of 10: 1, 2, 5, 10
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Common Factors: 1, 2
Greatest Common Factor: 2
Solution :- Given differential equation

So the characteristic equation will be
![r^{2} -16=0 ⇒r^{2} =16 ⇒[tex]r_{1}=4 \\or \\ r_{2}=-4](https://tex.z-dn.net/?f=r%5E%7B2%7D%20-16%3D0%3C%2Fp%3E%20%3Cp%3E%E2%87%92r%5E%7B2%7D%20%3D16%3C%2Fp%3E%20%3Cp%3E%E2%87%92%5Btex%5Dr_%7B1%7D%3D4%20%20%20%5C%5Cor%20%5C%5C%20r_%7B2%7D%3D-4)
so, the required function will be

⇒
ia solution of the given differential equation
where
are constants.
Answer:
I believe the answer would be 37/100 as a fraction, and 0.37 as a decimal.