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Answer: y=6x+7
Step-by-step explanation:
To find the equation of the line, we want to find the slope with the formula .
Now that we know th eslope, we can start to fill out the equation. To find the y-intercept, we can plug in a given point and solve.
y=6x+b
1=6(-1)+b [multiply]
1=-6+b [add both sides by 6]
b=7
Now, we know the equation is y=6x+7.
Because the coefficient of x^2 is -1, we know that a will be -1. Knowing that the coefficient of x is -4, we can calculate that p=2. Thus, we have -1(x+2)^2+q is our equation. This is equal to -x^2-4x-4+q. As the constant term must be 2, we can then see that q is 6.
As such, we have -1(x+2)^2+6=0 as our factorization.
To solve this equation, we can use the quadratic formula. Plugging in values, we have:
which is equal to: (when the fraction is simplified)
As such, we have -1(x+2)^2+6=0 as our factorization.
To solve this equation, we can use the quadratic formula. Plugging in values, we have:
which is equal to: (when the fraction is simplified)