The problem cannot be fully solved because you did provide the line on which the line is parallel/ but i can give you the steps on how to solve it. first solve the slope of the parallel line by
m = ( y2 - y1 ) / ( x2 - x1 )
then the slope of that line is equal to slope of line passing pooint ( -1 , 1)
then solve the y intercept of the line using
y = mx + b
where b is the y intercept
then you will have the equation of the line
<span>The variance method is as follows.
-Sum the squares of the values in data set, and then divide by the number of values in data set
- From that, subtract the square of the mean (add all values and divide by number of values in the data set)
Our variance is
<span>

Since variance has to be 14, we set

and solve for m

quadratic formula

-4 doesnt' work as it is not a positive integer
m = 11
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Answer:
1. Distance from Katie's House to the beach = 75 km
2. Hours that it takes to get to the beach = 6 hrs
3. -12.5 which tells us the rate at which katie traveled which was 12.5 km per hour
Steps to 3.
Rise/Run = -75/6 = -12.5 = slope
check the picture below.
so x = b + b = √(180) + √(180).