173k views
1 vote
Write an equation for the line , in point slope form that passes through the following. points: (5, - 3) (- 2, 6)

User Alassane
by
8.5k points

1 Answer

4 votes


▪▪▪▪▪▪▪▪▪▪▪▪▪  {\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 ~

User Pinei
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories