Question

Please please help with question 18

Answer 1

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

The Correct choice is :

• 
  `y = (3)/(5) x + 2`

Step-by-step explanation :

As per given in the question, both the lines are parallel so they have equal slopes. that is slope of required line is :

• 
  `(3)/(5)`

now, let's use slope and the coordinates of the given points to find the equation of line in point - slope form :

• 
  `y - y1 = m(x - x1)`

• 
  `(y - ( - 1)) = (3)/(5) (x - ( - 5))`

• 
  `y + 1 = (3)/(5) (x + 5)`

• 
  `5(y + 1) = 3(x + 5)`

• 
  `5y + 5 = 3x + 15`

• 
  `5y = 3x + 15 - 5`

• 
  `5y = 3x + 10`

• 
  `y = (3x + 10)/(5)`

• 
  `y = (3)/(5) x + 2`

therefore , the correct choice is A