Answer:

Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to

we have
the points (−1,12) and (1,2)
substitute



step 2
we know that
The equation of the line in slope intercept form is equl to

where
m is the slope
b is the y-intercept
we have


substitute in the linear equation and solve for b


therefore

Answer:
The answer is D.
Step-by-step explanation:
<em>x =1/3</em>
- Step-by-step explanation:
<em>25ˣ⁺¹ = 125/5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³/5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³⁻ˣ</em>
<em>2(x + 1) = 3 - x</em>
<em>2x + 2 = 3 - x</em>
<em>2x + x = 3 - 2</em>
<em>3x = 1</em>
<em>x = 1/3</em>
Convert to vertex form
or easier
for y=ax²+bx+c
the x value of the vertex is

and the y value is found by subsituting the x value in for x
so
y=1x²+4x+11
a=1
b=4
the x value of the vertex is

the y value is found by subsituting -2 for x
y=(-2)²+4(-2)+11
y=4-8+11
y=7
the vertex is (-2,7)