PLEASE HELP IF YOU SEE THIS. I really need help.How do you write an equation of a line given 2 points? Write the equation for the line containing points (3,8) and (9,2). Convert the equation to slope intercept form.

Respuesta :

Answer:

The answer of your question is:   y = - x + 11

Step-by-step explanation:

Data

A (3, 8)

B (9,2)

Formula

m = [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]

(y - y1) = m(x - x1)

Process

1.- Calculate the slope

   m = [tex]\frac{2- 8}{9 -3}[/tex]  

       = [tex]\frac{-6}{6}[/tex]

   m = -1     slope

2.- Substite point A and slope in the equation

  (y - 2) = - 1(x - 9)

   y - 2 = -x + 9

   y = -x + 9 + 2

  y = - x + 11                      Solve for y