Answer:
Step-by-step explanation:
Given
Required
Determine the value of k
First, we need to determine the equation of g(x)
Start by calculating the slope (m)
Where x and y are two corresponding values:
The slope (m) is:
The equation is calculated using:
Where
and
Make y the subject of formula
So:
Next, we determine the equation of f(x)
Start by calculating the slope (m)
Where x and y are two corresponding values:
The slope (m) is:
The equation is calculated using:
Where
and
Make y the subject of formula
So:
Recall that
Make k the subject
Substitute values for g(x) and f(x)