line passes through points (5, 8) and (10, 5). Line b is parallel to line a. what is the slope of line b??

-3/5

Step-by-step explanation:

Let's go from the point (5, 8) to the point (10, 5).  We can see immediately that x (the 'run') increases by 5 and y (the 'rise') decreases by 3.  Thus, the slope of the line connecting these two points is m = rise/run = -3/5.

Both of these lines have the slope -3/5, given that they are parallel lines.

Given condition is : Each day of the month Carl earns an allowance in cents equal to the square of that date of the month.

This simplifies that if the date is 3rd Carl will earn 9 cents, if the date is 15th, he will earn 225 cents etc.

So, the maximum days in a month is 31. So the maximum he can earn in a day will be:

Hence, in a single day he can earn 961 cents.