The first step to solving an equation like this is to find the slope of a line that will be perpendicular to the line given. The slope of a line that's perpendicular to another line is the negative reciprocal. The negative reciprocal of -1/5 is 5. So, so far our equation is y = 5x + b. Now, to find what b is equal to, we should substitute the values of x and y from the point (1,2) since we know that our line goes through the point. Our equation becomes:
2 = 5 + b
b= -3
That means that the equation of our new line is y = 5x - 3
Your insight that the function values differ by 5 every time is very important. So your f(x) will contain 5x as a term. You have to find a constant to add or subtract to make sure f(1)=-2.
f(x) = 5x-7 does the job.
Answer:
Step-by-step explanation:
Solve for the value of 
:
-Combine like terms:
-Multiply 
on both sides, which is the reciprocal of 
, and multiply 
and 
:
-Divide 
by 
:
Therefore, the value of is 
.
Step-by-step explanation:
logx - log3 = log(x-2)
x = 3(x - 2)
x = .......
Answer:
sqrt 24
Step-by-step explanation:
x^2-9=-15
x^2-9+9=-15+9
x^2=24
x=sqrt 24
