Hello.
We have:
- A point that the line passes through
- The slope of the line
Plug the values into the Point-Slope Formula:





I hope it helps.
Have a nice day.

Answer:
1.49
Step-by-step explanation:
In order to find the slope of the tangent line to a given equation, and in a given point, we need to:
1. Find the first derivative of the given function.
2. Evaluate the first derivative function in the given point.
1. Let's find the first derivative of the given function:
The original function is 
But remeber that the derivative of
is 
so, 
2. Let's evaluate the first derivative function in the given point
The given point is (0.4,1.49) so:



Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.
Answer:
No.
Step-by-step explanation:
Price of each pretzel = $3.25
Price of each drink = $1.85
Price of each bag of popcorn = $0.99
Maximum money to be spent = $10
Price of two pretzels = $3.25
2 = $6.5
Price of two drink = $1.85
2 = $3.70
Price of two bags of popcorn = $0.99
2 = $1.98
Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18
The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.
But maximum money available is $10.
Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.