Question

Which of these points lies on the line described by the equation below?

y – 5 = 6(x – 7)

A. (5, 7)
B. (–5, –7)
C. (–7, –5)
D. (7, 5)

Answer 1

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.