The standard form of a quadratic equation is
,
where
,
, and
are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.
In this case, the given equation is

Since
is on the right side of the equation, we subtract that from both sides. The resulting equation is

Looking at the standard form equation
, we can see that

Recall that given the slope, m₁, of the equation of the line, we can find the slope, m₂, of the line perpendicular to it is equal to the negative reciprocal of m₁.
Given that the equation is equal to y = (-1/2)x + 4, slope is equal to -1/2. The negative reciprocal of the slope would be 2. That would be m₂ = 2. Now, since the point (-2, 4) passes through this line, we can use the point-slope form of the line shown below.
(y - y₁) = m(x - x₁)
where (x₁, y₁) for this case is (-2, 4) and m = 2. So, we now have
(y - 4) = 2(x - (-2))
y - 4 = 2x + 8
y = 2x +12
Thus, the equation of the line is y = 2x + 12.
<span>Answer: 2x + 12</span>
Answer:
Fraction of the original board left = 
Step-by-step explanation:
Let the length of the board is = l feet
Marty saws off
of a wooden board.
Length of the board left = l - 
=
feet
He saws off
of the remaining board,
Board left = ![(\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B5%7D%29l-%5B%28%5Cfrac%7B4%7D%7B5%7D%29l%5Ctimes%20%28%5Cfrac%7B3%7D%7B4%7D%29%5D)
= 
=
feet
He finally saws off
rd of the remaining board.
Board left = ![\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Dl-%5B%5Cfrac%7B1%7D%7B5%7D%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%5Dl)
= 
=
feet
Fraction of the original board left = 
= 
I think the possible answer is Jalen used an ordered pair that is not on the line
Answer:
yes
Step-by-step explanation:
adding together even numbers will give an even result