Find all the values of k that makes f(x) continuous at x = 2

The equation y – 5 = 6(x – 7) is written in point slope form. Remember, the equation for point slope form is: y - y1 = m(x - x1).

In this equation, -5 is y1, 6 is the slope (m), and -7 is x1. 
Lets see if any of the coordinate pairs you gave matches (-7, -5). 
Answer C. is the correct answer.