Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. (Objective 3) (-8, 3) and (4, -5)

Question

Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. (Objective 3)
(−8, 3) and (4, −5)

Answer 1

First we write the equation in point slope form

y-y1 = m(x-x1)

 

 

slope = m= (y2-y1)/(x2-x1)=(-5-3)/(4-(-8))=-8  / 12 =-2/3

 

y-3 = (-2/3)(x-(-8))

 

y-3=(-2/3)(x+8)

 

multiply both side with 3

 

3y-9=-2x-16

 

2x+3y=-7   ______________standard form