For the Raleigh company write an equation in point-slope form to represent the amount charged, C, for m number of miles for the company in Raleigh, NC.
To write the equation in point-slope form for the Raleigh company, we need two pieces of information: the constant rate at which they charge and a point on the line.
Let's say the company charges $x per mile. Then, the equation in point-slope form can be written as:
C - C₁ = x(m - m₁)
Where:
- C is the amount charged (in dollars) for m number of miles
- C₁ is the amount charged (in dollars) for a specific point m₁
- m is the number of miles
- m₁ is a specific point on the line (a specific number of miles)
Therefore, the equation in point-slope form for the Raleigh company would be:
C - C₁ = x(m - m₁)