how to solve this question please

Question

2)Which of the equation of a line that contains the point (- 5, - 7) and has a slop of 2/5?

 

1. Y = 5x + 2/5
2. Y = 2x  -5
3. Y = 2/5x – 5
4. Y = 2/5x -2/5

Answer 1

(- 5, - 7) and has a slop of 2/5 ⇒ x(1) = - 5, y(1) = - 7

Y - Y(1) = M(X - X(1))

Y - ( - 7) = 2/5*(X -( - 5))

y + 7 = 2/5* ( x + 5)

y + 7  = 2x/5 = 2*5/5

y = 2x/5 + 2 _ 7

y = 2x/5 - 5 ⇒ C is the right answer