Slope intercept form follows this general equation...

With this information you have posted, all you can do is find slope, your m. To calculate for slope, you need to use this following equation...

Then, you pick one of your coordinate pairs to be 1 and the other to be 2. I will choose the first coordinate pair as 1, so...

You plug in -1 into your slope formula...

Now, to find your y-intercept, or b, you must plug in one of your coordinate pairs. In that equation, you may plug in the values (3,3), so you'll have...

Just solve for b and you will be done
There are 12.6803 quarts in 12 liters.
The equation 9cos(sin¯¹(x)) = √(81 – 81x²) is true since L.H.S = R.H.S
To answer the question, we need to know what an equation is
<h3>What is an equation?</h3>
An equation is a mathematical expression that show the relationship between two variables.
Given 9cos(sin¯¹(x)) = √(81 – 81x²), we need to show L.H.S = R.H.S
So, L.H.S = 9cos(sin¯¹(x))
= 9[√{1 - sin²(sin¯¹(x)}] (Since sin²y + cos²y = 1 ⇒ cosy = √[1 - sin²y])
9[√{1 - sin²(sin¯¹(x)}] = √9² × √{1 - sin²(sin¯¹(x)}]
= √[9² × {1 - sin²(sin¯¹(x)}]
= √[81 × {1 - sin²(sin¯¹(x)}]
= √[81 × {1 - x²}] (since sin²(sin¯¹(x) = [sin(sin¯¹(x)]² = x²)
= √(81 – 81x²)
= R.H.S
So, the equation 9cos(sin¯¹(x)) = √(81 – 81x²) is true since L.H.S = R.H.S
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the discriminant is:
D = (-1)^2 - 4*(-2)*6 = 49
We have a positive discriminant, which means that we have two real solutions.
<h3>
How to find the discriminant?</h3>
For the general quadratic equation, the discriminant is:
a*x^2 + b*x + c = 0
The discriminant is:
D = b^2 - 4ac
In this case, the quadratic equation is:
6*x^2 - x - 2 = 0
Then we have:
a = 6, b = -1, c = -2
Replacing that in the discriminant equation:
D = (-1)^2 - 4*(-2)*6 = 49
We have a positive discriminant, which means that we have two real solutions.
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Answer
the answer for problem number one is -8