Answer:
y = 4x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)
m =
=
= 4 , then
y = 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 4), then
4 = 16 + c ⇒ c = 4 - 16 = - 12
y = 4x - 12 ← equation of line
Answer:
C. z = 2.05
Step-by-step explanation:
We have to calculate the test statistic for a test for the diference between proportions.
The sample 1 (year 1995), of size n1=4276 has a proportion of p1=0.384.

The sample 2 (year 2010), of size n2=3908 has a proportion of p2=0.3621.

The difference between proportions is (p1-p2)=0.0219.
The pooled proportion, needed to calculate the standard error, is:

The estimated standard error of the difference between means is computed using the formula:

Then, we can calculate the z-statistic as:

z=2.05
Given:
The given equation is

To find:
All the real solutions.
Solution:
We have,

It can be written as


Using zero product property, we get
and 
and 
and 
We know that
is an imaginary number because there is a negative sign under the square root.
Therefore,
is the only real solution of the given equation.
When finding the slope between two points, we simply take (y2-y1) / (x2-x1)
For this, we can substitute the following to get this :
y2-y1 and x2-x1
1 - 4 and 7 - 1
-3 and 6
-3 / 6 gets you -1/2
Therefore the answer is :
The slope of the line is -1/2