Answer:
(2, -1)
Step-by-step explanation:
because that's where the lines intersect
Answer:
y = 60
Step-by-step explanation:
<h3>Step 1: Make sense of the given</h3>
"The ratio of y to x is 3"
This means that, 
"The sum of y and x is 80"
This means, 
<h3>Step 2: Make use of the facts</h3>
If
, then
.
We can plug this into the other equation by substitution:

This simplifies to:

Which we can solve out and get:
.
<h3>Step 3: Plug and Chug</h3>
We solved for x, but we need the value of y.
So, we go back to the equation we first derived: "
".
And now we substitute the value of x, into this.

By solving this out, we get:

So, the value of y is 60.
Answer:
Linear correlation exists
Step-by-step explanation:
Given the data :
X : | 2 4 5 6
Y : | 6 9 8 10
Using technology to fit the data and obtain the correlation Coefficient of the regression model,
The Correlation Coefficient, r is 0.886
To test if there exists a linear correlation :
Test statistic :
T = r / √(1 - r²) / (n - 2)
n = number of observations
T = 0.886 / √(1 - 0.886²) / (4 - 2)
T = 0.866 / 0.3535845
T = 2.449
Comparing Pvalue with α
If Pvalue < α ; Reject H0
Pvalue = 0.1143
α = 0.05
Pvalue > α ; We reject the null and conclude that linear correlation exists
The answer for this question is 8/1
Answer:
The slope of the line is:

Slope of a parallel line is the same:

Slope of a perpendicular line, invert the sign and fraction:

Hope this helps