Question

Write an equation in point-slope form that passes through the points (-4,7) and (8,3)

Answer 1

Answer:EMD

Explanation:

Answer 2

Since there are two points there are two equations that can written.

1.
`y-7=-(1)/(3) (x+4)`

2.
`y-3=-(1)/(3) (x-8)`

Explanation:

Step 1: Point Slope Form

• 
  `y-y_(1) =m(x-x_(1))`

Step 2: Find the slope of the two points

• Slope = m
• 
  `m=(y_(2)-y_(1))/(x_(2)-x_(1))`
• Points: (-4,7) and (8,3)
• y₂ = 3
• y₁ = 7
• x₂ = 8
• x₁ = -4

1. 
   `m=(3-7)/(8-(-4))=(-4)/(8+4) =(-4)/(12) =(-1)/(3)`

Step 3: Write the equation

• 
  `y-y_(1) =m(x-x_(1))`
• 
  `m=-(1)/(3)`
• Points: (-4,7) and (8,3)

1. Using the point (-4,7):

• 
  `y-7=-(1)/(3) (x+4)`

1. Using the point (8,3):

• 
  `y-3=-(1)/(3) (x-8)`