66x is the correct answer
Answer:
y₂ = 3
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 
m = 
with (x₁, y₁ ) = (7, - 6) and (x₂, y₂ ) = (- 5, y₂ )
m =
, that is
= -
( cross- multiply )
4(y₂ + 6) = 36 ( divide both sides by 4 )
y₂ + 6 = 9 ( subtract 6 from both sides )
y₂ = 3
Could you please add the image.
X+4=y=-2x-2
x+4=-2x-2
add 2x to both side
3x+4=-2
minus 4 both sides
3x=-6
divide 3
x=-2
sub back
y=x+4
y=-2+4
y=2
(x,y)
(-2,2)
<h2>Steps:</h2>
So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:
y = x² + bx + c
Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.
Now that we know the value of b, plug it into either equation to solve for c:

<h2>Answer:</h2>
<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>