using the formula:
y = mx +b
Using the given slope and coordinate points we get:
-1 = -3(2) + b
-1 = -6 + b
add 6 to each side
5 = b
y = -3x + 5
which is the same as:
3x + y = 5 ...answer choice a
11/12 - 7/12= 4/12
Simplest form=1/3
Answer:
B) -3
Step-by-step explanation:
The zeros of the function are found easily from the factors. They are 6 and -12. The x-coordinate is halfway between them, at (6 + (-12))/2 = -6/2 = -3.
If you want a formula, consider a quadratic with roots (zeros) p and q. Then it factors as
... y = (x -p)(x -q)
The line of symmetry through the vertex is also the line of symmetry between the roots, so has x-coordinate:
... x = (p+q)/2
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In your problem, you have p=6, q=-12, so x = (p+q)/2 = -6/2 = -3 is the line of symmetry and the x-coordinate of the vertex.
Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts let y = 0, that is
(x - 4)(x + 2) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
x- intercepts are x = - 2 and x = 4
The vertex lies on the axis of symmetry which is located at the midpoint of the x- intercepts, thus
= = 1
Substitute x = 1 into the equation for corresponding value of y
y = (1 - 4)(1 + 2) = - 3 × 3 = - 9
vertex = (1, - 9)