The equation for slope between two points is (y1-y2)/x1-x2
Plug the points into the equation
-5-(-10)/-2-3
5/5
m=1
To find the equation, use y-y1=m(x-x1)
y-(-5)=1(x-(-2))
y+5=x+2
y=x+2-5
y=x-3
Answer:
x = -1, and y = -2, giving you the answer (-1, -2)
Step-by-step explanation:
In the second equation, we're told that y is equal to 2x. With that, we can replace "y" in the first one with "2x", giving us:
-4x - 2x = 6
-6x = 6
x = -1
Now that we know the value of x, we can simply plug it into the first equation to find y:
-4x - y = 6
-4(-1) - y = 6
4 - y = 6
-4 + y = -6
y = -6 + 4
y = -2
So x = -1, and y = -2
The system of equations have no solution.
Explanation:
The equations are
and 
To find the two numbers, let us solve the equations using substitution method.
From the equation
, let us determine the value of r,

Let us substitute the value of r in
, we get,

which is not possible.
This means that the system has no solution.
It is 555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555
Answer:
For this case the value of r = -0.66
Now we can calculate the determination coeffcient:

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable
And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable
Step-by-step explanation:
For this case we need to calculate the slope with the following formula:
Where:
And we can find the intercept using this:
And the model obtained for this case is:

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
For this case the value of r = -0.66
Now we can calculate the determination coeffcient:

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable
And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable