Hi there!
The general formula of A line in slope-intercept form is the following:

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

Multiply first.

And finally add 1 1/5 to both sides of the equation.

We can now switch sides.

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
Answer:
a)
The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables
b)
Now we can find the means for x and y like this:
So the line would be given by:
Step-by-step explanation:
Part a
The correlation coeffcient is given by this formula:
For our case we have this:
n=4
The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables
Part b
Where:
With these we can find the sums:
And the slope would be:
Now we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
Answer:
I got x=5/2; y=0 lmk if it works
Step-by-step explanation:
Answer:
4.5 mph or 9/2 mph
Step-by-step explanation:
Let x be the rate of the current
Formula: Distance = rate x time
where rate upstream =(12-x) and time =2 hours
15=(12-x)(2)
15=24–2x
2x=24–15
2x= 9
x=9/2=4.5 miles per hour (rate of current)