We have been given that on a coordinate plane a line with negative slope passes through points and . We are asked to find the rate of the change of the function.
We know that slope represents rate of change of function.
We will use slope formula to solve our given problem.
Let and .
Therefore, the rate of change of the given function is .
For this case we have the following functions:
We must findwhen .
So:
We apply distributive property to the terms within parentheses taking into account that:
We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:
Thus, we have to:
Then, with x = 2:
Equal signs are added and the same sign is placed.
Answer:
X = 42
x/3 - 4 = 10
+ 4 +4
x/3 = 14
•3 •3
x = 42