Question

Write an equation for the line , in point slope form that passes through the following. points: (5, - 3) (- 2, 6)

Answer 1

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

The required equation is :

• 
  `y + 3 = - (9)/(7) (x - 5)`

`\huge \boxed{ \mathfrak{Explanation}}`

Let's find the slope (m) of the line :

• 
  `\mathrm{ (y2 - y1)/(x2 - x1) }`

• 
  `\mathrm{ (6 - ( - 3))/( - 2 - 5) }`

• 
  `(6 + 3)/( - 7)`

• 
  `- (9)/(7)`

now, let's find the equation in point slope form :

• 
  `\mathrm{y - y1 = m(x - x1)}`

• 
  `y - ( -3 ) = - ( 9)/(7) (x - 5)`

• 
  `y + 3 = - ( 9)/(7) (x - 5)`

or it can be more simplified as :

• 
  `7(y + 3) = - 9(x - 5)`

• 
  `7y + 21 = - 9x + 45`

• 
  `9x + 7y = 45 - 21`

• 
  `9x + 7y = 24`

• 
  `9x + 7y - 24 = 0`

I hope it helped ~